Proportional Relationships and Slopes

The line on the coordinate grid includes the hypotenuse of right triangle DEF. Right triangle XYZ is similar to right triangle DEF. Vertex Z is at (0,0). The slopes of the hypotenuses of the two triangles are equal. Which ordered pairs could be the coordinates of vertex Y? Select ALL that apply.

• (2,1)

• (1,–6)

• (3,–6)

• (4,2)

• (6,3)

The line on the coordinate grid includes the hypotenuse of right triangle ABC. Right triangle LMN is similar to right triangle ABC. Vertex N is at (−3, −3). The slopes of the hypotenuse of the two triangles are equal. Which ordered pairs could be the coordinates of vertex M? Select TWO correct answers.

• (0, −2)

• (2, −6)

• (0, 6)

• (3, −1)

• (−4, 1)

Which best describes the graph?
y = 75x

• Proportional

• Nonproportional

Which best describes this graph?
y= 3.75x + 2

• Proportional 

• Non-proportional

What is the y-intercept for the following graph and is it proportional or non-proportional?

• Proportional, b=1

• Proportional, b=-2

• Non-proportional, m= -1

• Non-proportional, b=1

Shawn makes $7.50 an hour to babysit for her next door neighbors.  Describe the graph of this relationship.

• Proportional

• Non-proportional

A proportional relationship is written used which of the following equations?

Which graph is proportional?

• A

• B

• C and D

• All of the graphs are proportional

Write the equation for the table given

• y = 1/3x

• y = 3x

• y = 1/2x

Find the slope of the line.

• -2/1

• 2/1

• -1/1

• 1/1