Question

find the slope of the line that goes through the given points (-5,8),(-2,-7

Answer 1

Slope is all about differences: differences and their quotient.
So... what are the differences between the y coordinates and the x coordinates?

Answer 2

In maths terms, you get the slope \(\large \color{blue}m\) of the line through two points \(\large (x_1, y_1)\) ad \(\large (x_2,y_2)\) is given by
\[\LARGE \color{blue}m=\frac{y_2-y_1}{x_2-x_1}\]

Answer 3

i dont know the formula but i would minus the x's and y's together,
-2--5=3 and -7-8=15
therefore 3 on the x axis and 15 on the y axis
a gradient of 5?

Answer 4

m=-7-8/-2-(-5)
=-15/-2+5
=-15/3
m=-5