A.6 Review of Slope, Slope intercept form and point slope form

​A.6 I can review slope, slope-intercept and point-slope form

Identifying Slope

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

Multiple Choice

Slope =

• positive

• negative

• 0

• undefined

You find slope from graph by rising and running from one point to another.

Multiple Choice

Find the slope of the graph. ( Slopes must be written as a fraction and simplified if possible)

• 2/3

• -2/3

• 3/2

• -3/2

Multiple Choice

Find the slope of the graph. ( Slopes must be written as a fraction and simplified if possible)

• 3/4

• -3/4

• -4/3

• 4/3

Finding Slope from Ordered Pairs (x,y)

Multiple Choice

Calculate the slope of a line that passes through these points. (1,3)(-1,7)

• -2

• 2

• -5

• -1/2

Multiple Choice

Calculate the slope of a line that passes through these points. (2,0)(7,3)

• 1/3

• 3/5

• 5/3

• 5

Finding Slope from a table:

Choose two coordinates; (x,y). Find the change in y/change in x

Multiple Choice

Calculate the slope of the line:

• 1

• 1/2

• 3

• 3/4

Multiple Choice

Calculate the slope of the line

• 5

• 1/5

• 1/4

• 21

Multiple Choice

Calculate the slope of the line

• -2

• 2

• -1/2

• 1/2

Multiple Choice

Calculate the slope of the line.

• -2/3

• 2/3

• 3/2

• -3/2

Interpreting slope

• write the slope as a fraction

• put the labels with each part (y on top)

• write it as a sentence/phrase

The equation represents the amount of snow in inches after x hours.  Interpret the slope. undefined 

Multiple Choice

The equation represents the amount of money in an account after x weeks. Interpret the slope.

$$y=25x+210$$  

• The amount of money increases by $25 each week.

• The amount of money increases by $1 every 25 weeks.

• The amount of money increases by $210 every 25 weeks.

Multiple Choice

The equation represents the amount of leftover cookies for x amount of guests at a party. Interpret the slope.

$$y=-2x+300$$  

• The number of guests decreases by 2 for every cookie left over.

• The number of cookies left over decreases by 2 for every guest.

• The number of cookies increases by 300 for every 2 less guests.

Multiple Select

The equation represents the amount of money Joe has after shoveling snow for x hours.  $$y=10.50x+52$$   

• slope = Joe earns $10.50 each hour

• y-int = after 0 hours, Joe has $52

• x-int = after 4.95 hours, Joe has $0

The Bath Tub

Billy Bob has an ancient bathtub that drains slower than the dickens. He filled up his tub and then let the water drain out to see how long it would take to drain. The graph below represents the number of gallons of water remaining in the tub and the time in minutes.

Fill in the Blanks

How many gallons of water are in Blilly Bob's tub after 6 minutes?

Fill in the Blanks

What is the slope of the line?

Slope Intercept Form

Writing and Graphing Equations Using y=mx+b

Multiple Choice

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)

• Ax + By = C

• y = mx + b

Multiple Choice

Determine the slope and y-intercept from the following equation:   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

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3

• y=2/3-3

• y=2/3x-3

• y=2/3x+3

Multiple Choice

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

• -4

• -4x

• 5

• -5

Multiple Choice

What is the slope in the equation:  y=4x+3

• 3

• 4x

• 4

• x

Multiple Choice

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

• y-intercept

• slope

• macaroni

• nothing

Multiple Choice

What is the equation of a line when m = -7 and b = -8?

• y = -7x + 8

• y = -7x - 8

• y = 7x - 8

• y = 7x + 8

Multiple Choice

Which equation matches the graph?

• y= 0.5x - 5

• y= -0.5x - 5

• y= 0.5x + 5

• y= -0.5x + 5

Multiple Choice

Which equation matches the graph?

• y= 3x - 5

• y= -3x - 5

• y= 3x + 5

• y= 3x + 5

Multiple Choice

Which equation matches the graph?

• y= 3x - 5

• y= -3x - 5

• y= 3x + 5

• y= 3x + 5

point slope form

How to write an equation of a line given 2 points

Point-Slope form: y-y₁=m(x-x₁)

is another way to find the equation of a line given 2 points

Multiple Choice

What is point slope form?

• $$y=mx+b$$  

• $$m=\frac{y_2-y_1}{x_2-x_1}$$  

• $$y-y_1=m\left(x-x_1\right)$$  

• $$y-x=m\left(x_1-y_1\right)$$  

Multiple Choice

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

• y = -3x - 23

• y = -3x - 13

• y = -3x - 11

• y = -3x + 13

Multiple Choice

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

• 2

• 3

• 5

• Cannot be Determined

Multiple Choice

Graph the line that goes through the point (-2,-4) 

and has a slope of  $$\frac{3}{4}$$ . 

Multiple Select

Given the equation: $$y+9=\frac{2}{5}(x-5)$$ , identify the slope and point of the line.

• Slope:  $$\frac{2}{5}$$  

• Point: (5,-9)

• Point: (-5,-9)

• Point: (-5,9)

• Point: (5,9)

Multiple Choice

What is the equation in Point-Slope form that goes through the point (2,3) and has a slope of 5?

• y - 3 = 5(x - 2)

• y - 2 = 5(x - 3)

• y + 3 = 5(x + 2)

• y + 2 = 5(x + 3)

Multiple Choice

Which point is on the following line?  
y - 6 = -1/4(x + 11)

• (6,-11)

• (11,-6)

• (-6,11)

• (-11,6)

Multiple Choice

What is the equation in Point-Slope form that goes through the point (8,-5) and has a slope of 2/3?

• y + 8 = 2/3(x - 5)

• y - 8 = 2/3(x + 5)

• y + 5 = 2/3(x - 8)

• y - 5 = 2/3(x + 8)

Multiple Choice

Which point is on the following line?  
y + 3 = -1(x - 4)

• (-4,3)

• (4,-3)

• (3,-4)

• (-3,4)

Multiple Choice

For the equation y + 1 = -3(x - 5), what is the slope?

• -1
• 1
• -3
• 5

Multiple Choice

What is the first step to convert this equation into slope-intercept form? $$y+4=-9\left(x+3\right)$$  

• Subtract 4 from both sides of the equation

• Add 4 to both sides of the equation

• Distribute -9 to everything in the parentheses

• Distribute 9 to everything in the parentheses

Multiple Choice

What is the next step to convert this equation into slope-intercept form after distributing -9 to the parentheses? $$y+4=-9\left(x+3\right)$$  

• Subtract 4 from both sides of the equation

• Add 4 to both sides of the equation

• Subtract -27 from both sides of the equation

• Add -27 to both sides of the equation

Multiple Choice

Write the following equation in slope intercept form:

y - 3 = -2(x + 4)

• y=2x-5

• y=-2x+7

• y=-2x-5

• y=-2x +1

Multiple Choice

Write the following equation in slope intercept form:

y - 4 = 1/2(x - 4)

• y = 1/2x

• y = 1/2x + 2

• y = 1/2x - 2

• y = 1/2x + 8

Multiple Choice

Write the equation of the line in slope-intercept form going through the point

(-2, 5) when slope m = 4

• y = 4x + 13

• y = 4x - 13

• y = 4x - 3

• y = 4x + 3