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Word Problems
Using Intercepts
Slope
Slope intercept form
Parallel and Perpendicular Lines
100

Sarah's job is providing her with a $20 one time bonus, plus $5 for every hour that she works. 

Write an equation, in slope-intercept form, that represents the scenario.

y=5x+20

100

What is the x-coordinate of the point where the graph intersects the x axis called?

*DOUBLE JEOPARDY*

What is the x intercept

100
What is the slope of a horizontal line?
Zero
100
What is slope intercept form?
y=mx+b
100

Write an equation of a line (in slope-intercept form) that is parallel to y = 3x + 4

*answers vary*

y = 3x + any number

200
A bake sale committee earns $150.00 a month in cost while incurring a one-time start-up cost of $200.00.

Write an equation, in slope-intercept form, that represents the scenario.

*DOUBLE JEOPARDY*

y = 150x - 200

200

Find the x intercept: 2x- 4y=8

Give the answer as an ordered pair.

(4, 0)

200
What is the slope of a vertical line?
Undefined
200

Write the equation in slope-intercept form: slope=1/3, y-intercept =-5

y=1/3x-5

200
What lines have the same slope?
parallel
300

Steven is learning to scuba dive. The equation D=20L+15 represents the depth he can dive in feet, D, based on the number of lessons he has had, L. How deep can Steven dive after he takes 13 lessons?

275 feet

300

Find the x and y intercepts of 3x+4y=24

Give the answers as ordered pairs

x-intercept: (8,0)

y-intercept: (0,6)

300

Find the slope of (4,-2) and(-1,2)

*DOUBLE JEOPARDY*

What is -4/5

300
Write the equation in slope intercept form: slope=4 and (2,5) is on the line
y=4x-3
300
How do you know when you have perpendicular slopes?
When the product of the slopes equal -1
400

David works at the T-shirt shack selling tees. The equation y=15x-520 represents the profit that the T-shirt Shack makes for each t-shirt sold, where y is the total profit and x is the number of t-shirts sold. How many t-shirts does the T-shrit Shack need to sell to make a profit of $140?

44 shirts

400

Find the x and y intercepts of 3x- 2y=12

Give the answer as an ordered pair.

x-intercept: (4,0)

y-intercept: (0,-6)

400

Find the slope of (-4,-8) and (1,3)

What is 11/5?

400

Explain how to graph the equation: y= 4x-3

*DOUBLE JEOPARDY*

Plot the y-intercept (0, -3). Move up 4 and to the right 1 (or down 4 and left 1) and plot another point. Then connect the points to graph it. 

400

Write an equation that is perpendicular to y = 1/3x - 5

*answers vary* y = -3x + any number

500

Alex paints faces at kids' birthday parties to earn extra money. The equation M=2.50f+12 represents the relationship between the money she makes, M, and the number of faces she paints, f. Alex wants to buy a new pair of Uggs that cost $119.50. How many faces does she need to paint?

43 faces

500

Find the x and y intercepts of 2x + 4y=8.

Give the answer as an ordered pair.

x-intercept: (4,0)

y-intercept: (0,-2)

500

Find the slope of the equation: 6x + 5y=30

What is 6/5

500

Write the equation in slope intercept form: 3x+2y=8

y=-3/2+4

500

Write equations (in slope-intercept form) that are parallel and perpendicular to y = 5x - 6

Parallel: y = 5x + any number

Perpendicular: y = -1/5x + any number