Graphing Lines

Multiple Choice

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

• -4

• -4x

• 5

• -5

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

• y-intercept

• slope

• Linear

• Horizontal

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

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 = -2/3x + 4

• y = 2/3x + 4

• y = 3/2x + 4

• y = -3/2x + 4

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

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.

Multiple Choice

Which graph has a slope of

$$\frac{1}{3}$$  ?

Multiple Choice

Which line has a y-intercept of -5?

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: $$y=-8x+5$$  

​Horizontal and Vertical Lines

Draw

Draw a line that you think is Horizontal

Draw

Draw a line that you think is Vertical

Multiple Select

Which statements are true?

• Vertical lines go up and down.

• Vertical Lines go left and right.

• Horizontal lines go up and down.

• Horizontal lines go left and right.

VERTICAL LINE

Vertical Lines go up and down

EVERY vertical line has the same equation: x = #.

The line to the right is x = 3.

VERTICAL LINE

EVERY point on a vertical line has the same x-coordinate.

The line graphed is x = 3.

EVERY point on that line is (3,#)

You can see some examples labeled on the graph.

Multiple Choice

Which graph is x = 7?

Multiple Select

Which points lie on the line x = -4?

• (-4,0)

• (-4,7)

• (5,-4)

• (0,-4)

• (-9,-4)

Multiple Select

Which points lie on the line x = 9?

• (9,0)

• (9,5)

• (9,-3)

• (0,9)

• (-9,9)

Multiple Select

Choose ALL the correct statements that describe the line x = 5.

• The line passes through (0,5).

• The line passes through (5,0).

• The line is parallel to the x-axis.

• The line is parallel to the y-axis.

HORIZONTAL LINE

Horizontal Lines go left and right

EVERY horizontal line has the same equation: y = #.

The line to the right is y = -4.

HORIZONTAL LINE

EVERY point on a horizontal line has the same y-coordinate.

The line graphed is y = -4.

EVERY point on that line is (#,-4)

You can see some examples labeled on the graph.

Multiple Choice

Which graph is y = 7?

Multiple Select

Which points lie on the line y = -31?

• (100,-31)

• (16,-31)

• (-31,-31)

• (-31,0)

• (-31,8)

Multiple Select

Which points lie on the line y = -8?

• (0,-8)

• (116,-8)

• (-8.8)

• (-8,0)

• (-8,88)

Multiple Select

Choose ALL the correct statements that describe the line y = -5.

• The line passes through (0,-5).

• The line passes through (-5,0).

• The line is parallel to the x-axis.

• The line is parallel to the y-axis.

Multiple Choice

What is the equation of the line?

• y = 0

• y = 1

• y = 2

• x = 1

Multiple Choice

What is the equation of this line?

• x=5

• y=5

• y=5x

• x=-5

Multiple Choice

What would the graph of y = 8 look like?

• Horizontal line

• Vertical line

Multiple Choice

Vertical or horizontal?
Undefined slope

• vertical

• horizontal

• neither

Multiple Choice

Vertical or horizontal?
y = -3

• vertical 

• horizontal

• neither

Multiple Choice

What would the graph of the equation x = -4 look like? 

• Horizontal line

• Vertical line

Multiple Choice

Vertical or horizontal?
Slope of 0

• vertical

• horizontal

• neither

Multiple Choice

Vertical or horizontal?
y = 2x + 3

• vertical 

• horizontal

• neither

Multiple Choice

Which of the following would be graphed as a horizontal line?

• y = -4

• x = 7

• y = 3x-4

• None of the above

Multiple Choice

Vertical or horizontal?
x = 4

• vertical 

• horizontal

• neither