An architect needs to determine the slope between two points on a ski lift. The two points have been identified as (10, 35) and (150, 55), where x is the horizontal distance and y is the vertical distance from the bottom of the lift. Assuming the lift runs in a straight line, what is the slope of the line between the two points?

(Write your answer in simplest form, using / for a fraction bar if needed.)

Question

An architect needs to determine the slope between two points on a ski lift. The two points have been identified as (10, 35) and (150, 55), where x is the horizontal distance and y is the vertical distance from the bottom of the lift. Assuming the lift runs in a straight line, what is the slope of the line between the two points? 

(Write your answer in simplest form, using / for a fraction bar if needed.)

anonymous · Answer

$$\huge slope=\frac{55-35}{150-10} $$

parthkohli · Answer

There's a trick that I use, also sat.

parthkohli · Answer

You can count the change in x in your head. here, x changes by 20.

parthkohli · Answer

oops, y changes by 20 and x changes by 140

parthkohli · Answer

Slope is change in y over change in x, so just make that into a fraction

anonymous · Answer

but that's exactly what the formula is Parth...

parthkohli · Answer

It's basically the same thing I and dpainc are doing here..

parthkohli · Answer

But, this makes you understand how the formula is derived.

anonymous · Answer

is it 1/9 in simplest form