Proportional
Slope and y-intercept
Equation Builder
Proportional and
Non-Proportional
100

What is the slope of a line that passes through (0,0) and (1, 8)?

What is m=8?

100

In the equation y = 3x - 7, which number is the y-intercept (b)?

What is -7?

100

Write y=mx+b for a graph with b = 6 and m = 0.5.

What is y=0.5x+6?

100

Does y = 0.5x represent a proportional relationship?

What is yes?

200

 If y=20 when x=5 in a proportional relationship, what is the constant k?

What is k=4?

200

Use a table to find the slope between the points (1, 5) and (3, 15).

What is 5?

200

Write the equation for: 14.25 per hour with a $25 deduction.

What is y=14.25x-25?

200

Does the point (0, 5) indicate a proportional relationship?

What is No?

300

A graph shows a unit rate of $12 per ticket. What is the slope?

What is m=12?

300

Use the slope formula to find the slope between (2, 8) and (5, 20)

What is 4?

300

An appliance repair technician charges a flat fee of $65 for a service call, plus $45.50 per hour for labor. write an equation to represent the situation.

What is y=45.5x+65?

300

Is the relationship y = 10x + 5 proportional or non-proportional?

What is non-proprotional?

400

A line contains (0,0) and (5, 2). What is the unit rate?

What is m=0.4?

400

Find the slope of a linear relationship including (1, 2) and (5, 7)

What is 1.25?

400

A local gym offers a personal training package.The gym charges a one-time $40 registration fee.

The total cost for 4 personal training sessions is $180.The total cost for 10 personal training sessions is $390.

Write an equation to represent the problem.

What is y=35x+40?

400

Which equation is proportional: y = 3x or y = 2x + 10

What is y=3x?

500

A baker decorates 6 cakes in 3 hours. Which graph has a slope that best represents the number of cakes the baker decorates per hour?

What is 2 cakes per hour?

500

Calculate the slope from a table including (2, 3.50) and (5, 46.25)

What is 14.25?

500

A linear relationship includes the ordered pairs (2, 5) and (6, 15). Write an equation in slope-intercept form (y = mx + b) that can be used to model the relationship.

What is y=2.5x

500

Does a proportional relationship always pass through the origin?

What is yes?

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