Question

(-1,5),(-7,-9) write in equation for the line in point slope formula then rewrite the equation in slope intercept form

Answer 1

The general slope intercept equation is

$y=mx+b$

m is the slope and b is the y=intercept. slope is

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-9-5}{-7+1} \\ m=\frac{-14}{-6} \\ m=\frac{7}{3} \end{gathered}$

so the equation becomes,

$y=\frac{7}{3}x+b$

From the first set of given points, substituting for y,

$\begin{gathered} 5=-\frac{7}{3}+b \\ b=5+\frac{7}{3} \\ b=\frac{15+7}{3} \\ b=\frac{22}{3} \end{gathered}$

Thus the point slope formula is

$y=\frac{7}{3}x+\frac{22}{3}$