Question

A line has a rise of 6 and a slope of 1/20 . What is the run?

Answer 1

120

Explanation:

We'd need to set up an equation to find the run:

Note: Rise over run is already the slope, we are only locating the missing part, which is "run"

6/x = 1/20

We'd have to multiply the denominator by x to get rid of it:

6/x * x = 6

x * 1/20 = 1/20 x

Divide both sides by 1/20:

6/(1/20)

6 * 20/1

120

Our run is 120

Answer 2

120

Explanation:

`\text{ Slope }=\frac{\text{ Rise }}{\text{ Run }}`.

Plug in the information given:

`(1)/(20)=\frac{6}{\text{ Run }}`.

Now we want to solve this equation for Run.

If you don't like Run as a variable, let's just use x in it's place:

`(1)/(20)=(6)/(x)`

Cross multiply:

`1(x)=20(6)`

Simplify both sides:

`x=120`

The run is 120.

Let's check our work.

`\text{ Slope }=\frac{\text{ Rise }}{\text{ Run }}`.

So if our rise is 6 and our run is 120.

Does 6/120 reduce to 1/20?

6 and 120 do have a common factor of 6.

So if you divide top and bottom of 6/120 by 6 you do get 1/20.