7th Grade Winter Break Tutorials Slope and Graphing LInes

Multiple Choice

Match the equation to the graph: $$y\ =\ -\frac{1}{3}x\ +\ 3$$  

Multiple Choice

Match the equation to the graph.

 $y=\frac{1}{5}x+4$  

Multiple Choice

Match the equation to the correct graph:

 $y=-8x+5$  

Multiple Choice

Match the equation to the correct graph:

 $y=6x+4$  

Multiple Choice

Match the equation to the correct graph:

 $y=-\frac{1}{2}x+7$  

Multiple Choice

What is the slope of the equation?

y = -2x - 1

• 2

• -2

• -2x

• -1

Multiple Choice

Find the slope and y - intercept

y = 1/2x - 1

• slope: 1/2 y-intercept: -1

• slope: 2 y-intercept: -1

• slope: 1/2x y-intercept: 1

• slope: 2 y-intercept: 5

Multiple Choice

What is the y-intercept?

y = 6x - 4

• 6

• 6x

• -4

• 4

Multiple Choice

Find the slope of the line.

Hint: rise/run

• 1/2

• -1/2

• 2

• 0

Multiple Choice

Find the slope.

Hint: rise/run

• -5/3

• -3/5

• 5/3

• 5

Multiple Choice

Which equation matches the graph?

• y = 2x

• y = 1/4 x + 2

• y = 1x + 4

• y = 2x - 3

Multiple Choice

What is the y-intercept.

• y-intercept is -3

• y-intercept -2

• y-intercept is 3

• y-intercept is -1

Multiple Choice

Describe the slope of the line.

• negative slope

• 0 slope

• positive slope

• undefined slope

Finding Slope and Graphing Quiz Review

​

Finding Slope when given 2 points.

Multiple Choice

Find the slope:

(-3, 3) and (7, 6)

• 3/4

• 3/10

• -4/3

• -10/3

Multiple Choice

Find the slope of the line that passes through

(10, 1) and (5, 2)

• -1/5

• 1/5

• 5

• -5

Finding Slope on a graph

Multiple Choice

Find the slope of the line in simplest form.

• -2

• -1

• 2

• 1

Multiple Choice

What is the slope of this line?

• -1

• 1

• 0

• Undefined

Multiple Choice

What is the slope of the line?

• 1

• -1

• 0

• Undefined

Graphing a line

• To graph a line, the equation needs to be in slope intercept form

• y = mx + b

• m = the slope

• b = the y-intercept (where the lines crosses the y-axis)

Example: y = 1/2x + 6

• The slope is where the "m" would be

• So here, the slope is 1/2

• The y-intercept is where the "b" would be

• So here, the y-intercept is 6

Multiple Choice

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)

• Ax + By = C

• y = mx + b

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept

• slope

• Linear

• Horizontal

Multiple Choice

Determine the slope and y-intercept. y = 3/2x + 3

• slope: 5 y-intercept: (0,3)

• slope: 3/2 y-intercept: (0,3)

• slope: 4 y-intercept: (0,3/2)

• slope: 1/5 y-intercept: (0,5)

Multiple Choice

What is the y-intercept in the following equation: y=-4x-5

• -4

• -4x

• 5

• -5

Multiple Choice

What is the y intercept? Make sure to write it as an ordered pair.

• (1,0)

• -1

• (0-1)

• (0,-2)

To graph a line:

• Look for the y-intercept (the "b" in the equation)

• Plot that point on the y-axis

• Look at the slope (the "m" in the equation)

• Move that many units up and over from your first point.

• Remember: Positive slope goes up and over. Negative slope goes down and over.

Finding an equation from a graph

• First look on the y-axis for the point. This will be the "b" in the equation.

• Then see if it is a positive or negative line.

• Count the Rise and the Run between two points. 

• Find the equation that has the same slope in the "m" spot.

Multiple Choice

Write the equation of the line.

• y = -2/3x + 4

• y = 2/3x + 4

• y = 3/2x + 4

• y = -3/2x + 4

Multiple Choice

Write the equation for the line.

• y= -1x+3

• y= 4x+3

• y=(1/4)x+3

• y= -4x+3

Multiple Choice

Write the equation of the line.

• y=(3/5)x-1

• y=(-3/5)x-1

• y=(5/3)x+1

• y=(3/5)x+1

Multiple Choice

What is the slope of the equation?

y = -2x - 1

• 2

• -2

• -2x

• -1

Multiple Choice

Find the slope and y - intercept

y = 1/2x - 1

• slope: 1/2 y-intercept: -1

• slope: 2 y-intercept: -1

• slope: 1/2x y-intercept: 1

• slope: 2 y-intercept: 5

Multiple Choice

What is the y-intercept in the equation

y= - 2x

• -2

• -2x

• 0

• 1

Multiple Choice

What is the y-intercept?

y = 6x - 4

• 6

• 6x

• -4

• 4

Multiple Choice

Find the slope of the line.

Hint: rise/run

• 1/2

• -1/2

• 2

• 0

Multiple Choice

Find the slope.

Hint: rise/run

• -5/3

• -3/5

• 5/3

• 5

Multiple Choice

y -intercept is where the line ______________.

• begins
• crosses the x-axis 
• crosses the y-axis 
• crosses each other

Multiple Choice

When you graph a line using slope-intercept form (y=mx+b), you graph the ___________ first and then use the ___________ to find the second point.

• origin; slope

• slope; y-intercept

• y-intercept; x-intercept

• y-intercept; slope

Multiple Choice

Which equation matches the graph?

• y = 2x

• y = 1/4 x + 2

• y = 1x + 4

• y = 2x - 3

Multiple Choice

Which of these is in slope-intercept form?

• y2 - y1/x2 - x1

• Ax + By = C

• y = mx + b

• a + b = c

Multiple Choice

Which equation is written in STANDARD form?

• y = 1/2x + 2

• y = 2x + 1

• 7x + 2y = 9

• 2x + 3 = 6

Multiple Choice

What is the y-intercept.

• y-intercept is -3

• y-intercept -2

• y-intercept is 3

• y-intercept is -1

Multiple Choice

Find the slope of the line.

Hint: rise/run

• -5/4

• 5/4

• -4/5

• 4/5

Multiple Choice

Describe the slope of the line.

• negative slope

• 0 slope

• positive slope

• undefined slope

Multiple Choice

Find the slope of the line.

• Undefined

• 0

• 2

• -1

Multiple Choice

Find the slope of the line.

• Undefined
• 0
• 1
• -1

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept

• slope

• x-intercept

• standard form

Multiple Choice

Find the length of line segment AB given A(4, 3) and B(0, 6).

• 3
• 4
• 5
• 7

Multiple Choice

How far is point A from point B?

• 7.1
• 7.8
• 8.7
• 8.9

Multiple Choice

Find the length between ( 1, 3) and (5, 6) 

• 3
• 4
• 5
• 6

Finding Slope and Graphing Quiz Review

​

Finding Slope when given 2 points.

Multiple Choice

Find the slope:

(-3, 3) and (7, 6)

• 3/4

• 3/10

• -4/3

• -10/3

Multiple Choice

Find the slope of the line that passes through

(10, 1) and (5, 2)

• -1/5

• 1/5

• 5

• -5

Finding Slope on a graph

Multiple Choice

Find the slope of the line in simplest form.

• -2

• -1

• 2

• 1

Multiple Choice

What is the slope of this line?

• -1

• 1

• 0

• Undefined

Multiple Choice

What is the slope of the line?

• 1

• -1

• 0

• Undefined

Graphing a line

• To graph a line, the equation needs to be in slope intercept form

• y = mx + b

• m = the slope

• b = the y-intercept (where the lines crosses the y-axis)

Example: y = 1/2x + 6

• The slope is where the "m" would be

• So here, the slope is 1/2

• The y-intercept is where the "b" would be

• So here, the y-intercept is 6

Multiple Choice

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)

• Ax + By = C

• y = mx + b

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept

• slope

• Linear

• Horizontal

Multiple Choice

Determine the slope and y-intercept. y = 3/2x + 3

• slope: 5 y-intercept: (0,3)

• slope: 3/2 y-intercept: (0,3)

• slope: 4 y-intercept: (0,3/2)

• slope: 1/5 y-intercept: (0,5)

Multiple Choice

What is the y-intercept in the following equation: y=-4x-5

• -4

• -4x

• 5

• -5

Multiple Choice

What is the y intercept? Make sure to write it as an ordered pair.

• (1,0)

• -1

• (0-1)

• (0,-2)

To graph a line:

• Look for the y-intercept (the "b" in the equation)

• Plot that point on the y-axis

• Look at the slope (the "m" in the equation)

• Move that many units up and over from your first point.

• Remember: Positive slope goes up and over. Negative slope goes down and over.

Finding an equation from a graph

• First look on the y-axis for the point. This will be the "b" in the equation.

• Then see if it is a positive or negative line.

• Count the Rise and the Run between two points. 

• Find the equation that has the same slope in the "m" spot.

Multiple Choice

Write the equation of the line.

• y = -2/3x + 4

• y = 2/3x + 4

• y = 3/2x + 4

• y = -3/2x + 4

Multiple Choice

Write the equation for the line.

• y= -1x+3

• y= 4x+3

• y=(1/4)x+3

• y= -4x+3

Multiple Choice

Write the equation of the line.

• y=(3/5)x-1

• y=(-3/5)x-1

• y=(5/3)x+1

• y=(3/5)x+1

Multiple Choice

When graphing a line in slope-intercept form, where will you start?

• On the x-axis at the x-intercept

• On the y-axis at the y-intercept

• Anywhere on the graph works

Multiple Choice

What is another term for the y-intercept?

• growth

• x-intercept

• starting point

• slope

Multiple Choice

What is the first step when graphing the equation,

 $y=-4x+1$  ?

• Plot the first point on the y-axis at (0, 1).

• Plot the first point on the x-axis at (-4, 0).

• Plot the first point on the x-axis at (1, 0).

• Plot the first point on the y-axis at (0, -4).

Multiple Choice

What are the steps for graphing the equation,

 $y=2x-5$  on a coordinate plane?

• Step 1:  Plot the first point on the y-axis at (0, -5).
  
  Step 2:  From the starting point, go UP 2 : RIGHT 1 to plot the next point.

• Step 1:  Plot the first point on the x-axis at (-5, 0). 
  
  Step 2:  From the starting point, go UP 2 : RIGHT 1 to plot the next point.

• Step 1:  Plot the first point on the y-axis at (0, -5).  
  
  Step 2:  From the starting point, go UP 1 : RIGHT 2 to plot the next point.

• Step 1:  Plot the first point on the x-axis at (0, -5).  
  
  Step 2:  From the starting point, go UP 2 : RIGHT 5 to plot the next point.

Multiple Choice

What are the steps for graphing the equation,  $y=-2x+3$  on a coordinate plane?

• Step 1:  Plot the first point on the y-axis at (0, 3).

  
  

  Step 2:  From the starting point, go DOWN 2 : RIGHT 1 to plot the next point.
  

• Step 1:  Plot the first point on the y-axis at (3, 0).

  
  

  Step 2:  From the starting point, go DOWN 3 : RIGHT 1 to plot the next point.
  

• Step 1:  Plot the first point on the y-axis at (0, -3).
  
  Step 2:  From the starting point, go UP 2 : RIGHT 1 to plot the next point.

• Step 1:  Plot the first point on the y-axis at (0, 3).
  
  Step 2:  From the starting point, go UP 1 : RIGHT 2 to plot the next point.

Multiple Choice

When the slope of a line is -3, what is the  $\frac{rise}{run}$  ?

•  $\frac{up\ 3}{right\ 1}$  

•  $\frac{down\ 3}{right\ 1}$  

•  $\frac{up\ 1}{right\ 3}$  

•  $\frac{up\ 3}{right\ 1}$  

Multiple Choice

When the slope of a line is  $\frac{3}{4}$ , what is the  $\frac{rise}{run}$  ?

•  $\frac{up\ 3}{right\ 4}$  

•  $\frac{up\ 4}{right\ 3}$  

•  $\frac{down\ 3}{right\ 4}$  

•  $\frac{down\ 4}{right\ 3}$  

Multiple Choice

Which line represents the equation,  $y=-2x$  ?

• Line A

• Line B

• Line C

• Line D

Multiple Choice

How would you graph a line that has the same slope as Line C and starts at (0, 2)?

• Plot the first point at (0, 2); next, go DOWN 2 : RIGHT 1 and plot the next point.

• Plot the first point at (2, 0); next, go DOWN 2 : RIGHT 1 and plot the next point.

• Plot the first point at (0, 2); next, go UP 1 : RIGHT 2 and plot the next point.

• Plot the first point at (2, 0); next, go DOWN 2 : RIGHT 1 and plot the next point.

Multiple Choice

How would you graph a line that has the same slope as Line B and starts at (0, -3)?

• Plot the first point at (0, -3); next, go UP 2 : RIGHT 1 and plot the next point.

• Plot the first point at (0, -3); next, go DOWN 1 : RIGHT 2 and plot the next point.

• Plot the first point at (-3, 0); next, go UP 2 : RIGHT 1 and plot the next point.

• Plot the first point at (-3, 0); next, go DOWN 2 : RIGHT 1 and plot the next point.

Multiple Select

 $y=x-\frac{3}{4}$  Y-intercept is

•  $\frac{3}{4}$  

• 1

• -1

•  $-\frac{3}{4}$  

Multiple Select

When graphing, one always marks FIRST

• the y-intercept on the y-axis

• the slope on the y-axis

• the y-intercept on the x-axis

• the slope on the x-axis

Multiple Select

When graphing, one always starts counting the slope

• from the origin (0,0)

• on the y-axis

• from the y-intercept

• on the x-axis

Multiple Select

In the equation y = -5x + 7, which value represents the slope of the equation?

• x

• -5

• y

• 7

Multiple Select

What is the slope of this line?

• 2/3 up two, right 3

• -2/3 down 2, right 3

• -3/2 down three, right 2

• 3/2 up three, right 2

Multiple Select

Which graph below shows a zero slope?

Multiple Select

Which graph below shows an undefined slope?

Multiple Select

Which graph below shows a positive slope?

Multiple Select

What is the equation of a line when m = -3 and b = 5?

• y = -3x + 5

• y = -3x - 5

• y = 5x + 3

• y = -5x - 3

Multiple Select

• A

• B

• C

• D

Multiple Select

What are the coordinates of point H?

• ( - 4 , 2 )

• ( 4 , - 2 )

• ( - 2 , 4 )

• ( 4 , 4 )

Multiple Select

Parallel lines have slopes that are...

• opposite

• same

• reciprocals

• opposite reciprocals

Multiple Select

Find the slope:

• 3/4

• 4/3

• -3/4

• -4/3

Multiple Select

What is the slope in the equation y = 2x + 3?

• 2

• 3

• 5

• Cannot be determined

Multiple Select

Are these two lines parallel, perpendicular or neither?

 $y=-\frac{1}{3}x\ -5$ 

  $y=\frac{1}{3}x\ +2$  

• Parallel

• Perpendicular

• Neither

Multiple Select

Are these two lines parallel, perpendicular or neither?

 $y=-\frac{1}{4}x-5$  

 $y=4x+2$  

• Parallel

• Perpendicular

• Neither

Multiple Select

Write a linear equation in slope intercept form of a line with a slope of 12 and y-intercept of 10

• y = 12x - 10

• y = 10x +12

• y = 12x + 10

• y = 10x - 12

Multiple Select

Write an equation of a line in point slope form that passes through (3,8) and has a slope of 5?

• y - 8 = 5(x - 3)

• y = 5x + 8

• y - 3 = 5(x - 8)

• $y-y_1=m\left(x-x_1\right)$