Slope Direct Variation Constant of Variation and Proportions

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.

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.

What is the slope of the line?

• 2/3

• 3/2

• -2/3

• -3/2

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

Which statement does NOT describe the graph?

• It shows a proportional relationship.

• The equation of the line is y = 10x.

• It shows a direct variation.

• It shows a non-proportional relationship.

Which equation shows a line that passes through the origin?

• y = x + 1.5

• y = x - 1.5

• y = 1.5x

• y = 5x + 1

What is the equation of the line?

• y=-2x + 2/3

• y=2/3x -2

• x=2/3y + 2

• y=3/2x - 2

Which statement does NOT describe the value of 12 in the equation for the line y = 12x?

• It is the slope of the line.

• It is the constant of variation.

• It is the y-intercept of the line.

• It is the rate of change.

Choose all of the true statements about the graph:

• The relationship shown is directly proportional.

• The slope is 3.

• The graph includes the point (4, 12)

• When you double the x value, the y value doubles.