Answer:
y=7/4x–5/2
Step-by-step explanation:
You must find the slope first, let it be m
[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{8 - ( - 6)}{6 - ( - 2)} \\ = \frac{14}{8} \\ = \frac{7}{4} [/tex]
then insert tu the formula y=mx+c to find the c (c is the intercept of y axis) choose any point that you want. i use (6,8)
[tex]y = mx + c \\ 8 = \frac{7}{4} (6) + c \\ c = - \frac{5}{2} [/tex]
so the equation is
[tex]y = \frac{7}{4} x - \frac{5}{2} [/tex]
