Question

What is the slope of a line that passed threw (4,-4) and (2,3)

Answer 1

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$(4,\ -4)\to x_1=4,\ y_1=-4\\(2,\ 3)\to x_2=2,\ y_2=3\\\\m=\dfrac{3-(-4)}{2-4}=\dfrac{7}{-2}$

Answer: $-\dfrac{7}{2}=-3.5$