Question

What is the slope of the line that passes through the points (8,9)

and (14, -9)? Write your answer in simplest form.

Answer 1

Explanation:

`(x_(1) , y_(1)) = (8 , 9) & (x_(2) , y_(2)) = (14 , -9) \\\\\Slope = \frac{y_(2)-y_(1)}{x_(2)-x{1}}\\\\ = (-9-9)/(14-8)\\\\=(-18)/(6)\\\\= - 3`

m = -3 ; (8 , 9)

`y - y_(1)= m(x - x_(1))\\\\y - 9 = -3(x - 8)\\\\y - 9 = -3x - 8 *(-3) \\\\\\y - 9 = -3x + 24 \\\\\\ y = -3x + 24 + 9\\\\\\ y = -3x + 33`