Proportions and Slope

Triangle DEF and triangle GHI are similar right triangles. Based on this information, which statement is true?

• The relationship between the slope of the hypotenuse of the triangle DEF and the slope of the triangle GHI cannot be determined.

• The slope of the hypotenuse of the triangle DEF is greater than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of the triangle DEF is less than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of the triangle DEF is equal to the slope of the hypotenuse of triangle GHI.

Judy can decorate 3 cakes in 5 hours. Which graph has a slope that best represents the number of cakes per hour Judy can decorate?

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An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled. Which statement best describes the rate of change for this situation?

• The height of the water increases 20 inches per second.

• The height of the water increases 1 inch per second.

• The height of the water increases 5 inches per second.

• The height of the water increases 2.5 inches per second.

The graph of a linear function is shown on the coordinate grid. What is the y-intercept of the graph of the linear function?

• 5

• -7.5

• -5

• 7.5

The function y= 6 + 1.25x can be used to find the cost of joining an online music club and buying x songs from the website. Based on this information, which statement about the graph of this situation is true?

• The y-intercept of the graph represents the cost of each song.

• The y-intercept of the graph represents the cost of joining the music club.

• The slope of the graph represents the total number of songs bought by members of the club.

• The slope of the graph represents the number of songs each member buys when visiting the website.

What is the slope of the line?

• 2/3

• 3/2

• -2/3

• -3/2

What is the y-intercept of the line?

• 2

• 0

• 3

• -2

What is the equation of the line?

• y=-2x + 2/3

• y=2/3x -2

• x=2/3y + 2

• y=3/2x - 2

Find the equation of the line with a slope of -3 that contains the point (0, 3).

• y = 3x -3

• y = -3x + 3

• y = -3x

• x = -3y + 3

What is the rate of change in the graph?

• 20

• 1/2

• 60

• 10