Math 7+ - Unit 6 - Study Guide - Linear Relationships & Slope

Trey and Sophia are standing at two different points in a park. Trey is standing at the point (2, 4) and Sophia is standing at the point (6, 12). Jack is trying to draw a line on a map that passes through these two points. Can you help Jack find the slope of this line?

Zachary finds the slope of the line that passes through
(10, 1) and (5, 2). What is it?

• 1/5
• -1/5
• 5
• -5

Payton, Gabby, and Natalia are trying to build a ramp for their skateboard park. They need to find the slope of the ramp. Can you help them?

Mia and Emma are trying to build a ramp for their dog, Pi. If the ramp is perfectly horizontal, what would be the slope of the ramp?

• No/Undefined

• 0

• 1

• -1

Dane, Max, and Beren are racing on a straight track. If the track is represented on a graph with distance on the y-axis and time on the x-axis, what is the slope of the line representing their race?

• Positive

• Negative

• Zero

• Undefined

Caleb and Ava are trying to predict the height of a rocket based on the time it has been flying using the equation y=mx+b. In this equation, what does 'b' represent?

• The height of the rocket when it was launched

• The type of rocket

• It doesn't represent anything

• The speed of the rocket

Haley and Jordan are trying to calculate the cost of their taxi ride. The taxi company charges a fixed fee plus a fee per mile. The equation y=mx+b represents the cost of the ride (y) where m is the cost per mile, x is the number of miles, and b is the fixed fee. Write this equation in slope-intercept form. Do not include any spaces.

Evan and Vilius are trying to calculate the slope of a hill. They came up with an equation to represent the slope. Which of the following is that equation?

• y = 2x + 2

• y = 2x - 2

• y = -x + 2

• Cannot be Determined

Nate is helping Aaron to understand the equation of a line. He writes down the equation y=mx+b. In this equation, what does "m" represent?

• y-intercept

• slope

• move

• math

Lyla, Lylah, and Abigail are trying to determine the path of a ball thrown in the air. They found that the path can be represented by the equation y = -x + 2. Which graph represents this path?

• A

• B

• C

• D