Question

What is the equation of the line that passes through (-3,4) and (3,8)​

Answer 1

Answer:

$y = \frac{2}{3} x + 6$

Step-by-step explanation:

$m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{8 - 4}{3 - ( - 3)} \\ m = \frac{4}{6} = \frac{2}{3} \\ slope = \frac{2}{3} \\ using \: point \: slope \: form \\ y - y1 = m(x - x1) \\ y - 8 = \frac{2}{3} (x - 3) \\ y - 8 = \frac{2}{3}x - 2 \\ y = \frac{2}{3} x + 6$