Question

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

Answer 1

Answer:

120

Step-by-step explanation:

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

Plug in the information given:

$\frac{1}{20}=\frac{6}{\text{ Run }}$.

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:

$\frac{1}{20}=\frac{6}{x}$

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.

Answer 2

Answer:

120

Step-by-step 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