Question

Write the equation of the line in POINT-SLOPE form that passes through (5, 1) and (-2, 14)

Answer 1

point slope form is

$y-y_1 = m(x-x_1)$

we can find m with

$m = \frac{y_2-y_1}{x_2-x_1}\\ m = \frac{14-1}{-2-5} \\m = \frac{13}{-7}$

$y - 1 = \frac{-13}{7} (x-5)\\or\\y - 14= \frac{-13}{7} (x+2)$