Slope Given Two Points Quiz

What is the slope between the points (1, 2) and (3, 4)?

• 1

• 2

• 0.5

• 3

Calculate the slope of the line that passes through the points (-2, -3) and (-4, 5).

• 1

• -1

• 4

• -4

Find the slope of the line given in the image.

• 1

• 0

• -1

• undefined

For a given line, for every 3 boxes covered horizontally to the right, the vertical distance moved is 15 downwards. What is the slope of this line?

• 5

• -5

• 3

• 15

Answer explanation

Moving towards right is + while moving down is -

The slope of a line is -4. One of the points on the line is (12, 24). Find one other possible point in the line.

• (16,-32)

• (-16,32)

• (0,-24)

• (0,24)

A construction company is designing a wheelchair ramp for a hospital entrance. The building code requires the ramp to have a slope no steeper than 1:12 (one unit rise for every 12 units run). The hospital entrance is elevated 1.2 meters above ground, and the ramp must begin at least 15 meters from the entrance for aesthetic reasons. Which of the following is true about the proposed ramp design?

• The ramp satisfies the building code because its slope is less than the maximum allowable slope.

• The ramp violates the building code because its slope is steeper than the maximum allowable slope.

• The ramp satisfies the building code because its slope is equal to the maximum allowable slope.

• The ramp violates the building code because the required slope is 1:15, not 1:12.

Answer explanation