Question

Slope of (4,6) and (-1,2)

Answer 1

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have}\\\\(4,\ 6)\to x_1=4,\ y_1=6\\(-1,\ 2)\to x_2=-1,\ y_2=2\\\\\text{substitute}\\\\m=\dfrac{2-6}{-1-4}=\dfrac{-4}{-5}=\dfrac{4}{5}=0.8$

Answer 2

We can use the slope formula to find the slope between these two points:

$\frac{y.2 - y.1}{x.2 - x.1} = m$

2 - 6 / -1 - 4

-4 / -5

Because there are two negatives, they cancel out.

The slope of the line between these two points is 4/5.