Question

A line that includes the points (n, 6) and (3, -2) has a slope of 8/5. What is the value of n?

Answer 1

n = 8

Explanation:

We can find the slope using the slope formula which, which is

`m = (y_(2)-y_(1) )/(x_(2)-x_(1) )`, where x2, y2, x1, and y1 are a pair of coordinates and m is the slope.

We can allow (3, -2) to represent x2 and y2, and (n, 6) to represent x1 and y1:

`8/5=(-2-6)/(3-n)\\ 8/5=(-8)/(3-n)\\ 8/5(3-n)=-8\\24/5-8/5n=-8\\-8/5n=-64/5\\n=8`