Question

What is the slope of these pionts ( 7,-2) (1,-6)

Answer 1

m = 2/3

Explanation:

Given two points on a line, we can find the slope, m, of a linear equation using the slope formula:

`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`, where x1 and y1 are one point and x2 and y2 are the other point.

The order of the points don't matter as long you pair the points already together (e.g., if you choose 7 as x1, you have to choose -2 as y2, and if you choose 1 as x1, you have to choose -6 as y2).

Thus, if we allow the first point to be x1 and y2 and the second point to be x2 and y2, our slope is:

`m=(-6-(=2))/(1-7)\\ \\m=(-6+2)/(-6)\\ \\m=(-4)/(-6)\\ \\m=(2)/(3)`