[Solved] MATH062N Week 6 Graphing Lines with Slope and Applications of Slope

Q1

A 1-inch rise for a 16-inch run makes it easier for the wheelchair rider to ascend a ramp. How long must a ramp be to easily accommodate a 24-inch rise to the door?

Q2

Use the slope formula to find the slope of the line through the points (4,−1) and (−9,−10).

Q3

Graph the line passing through (3,3) whose slope is m=−3/2.

Q4

Graph the line passing through (6,−2) whose slope is m=−3.

Q5

An easy way to determine the slope of a roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface. This will give you the slope of the roof.

The slope of the roof shown here is measured with a 12-inch level and a ruler.

What is the slope of the roof in this picture?

Q6

Use the slope formula to find the slope of the line through the points (−4,2) and (−9,−10).

Q7

Use the slope formula to find the slope of the line through the points (−8,7) and (−7,2).

Q8

Use the slope formula to find the slope of the line through the points (−2,−9) and (1,−4).

Q9

Graph the line passing through (1,−1) whose slope is m=−5/4.

Q10

Graph the line passing through (4,−3) whose slope is m=−1/3.

Q11

Find the slope of a pipe that slopes down 2/5 inch per foot.

  • Enter a fully reduced fraction.

Q12

Find the slope of a pipe that slopes down 3/5 inch per foot.

 

Solution

Q1

A 1-inch rise for a 16-inch run makes it easier for the wheelchair rider to ascend a ramp. How long must a ramp be to easily accommodate a 24-inch rise to the door?

Ans: 384 inches

Q2

Use the slope formula to find the slope of the line through the points (4,−1) and (−9,−10).

Ans: slope = 9/13

Q3

Graph the line passing through (3,3) whose slope is m=−3/2.

Ans:

……………….please follow the link below to access all the solutions at just $10