Answer
y-1=-$\frac{3}{4}$(x+6)
y=-$\frac{3}{4}$x-$\frac{7}{2}$
Work Step by Step
m=$\frac{y_2-y_1}{x_2-x_1}$
m=$\frac{-5-1}{2+6}$
m=$\frac{-6}{8}$
m=-$\frac{3}{4}$
y-y$_1$=m(x-x$_1$)
y-1=-$\frac{3}{4}$(x-(-6))
y-1=-$\frac{3}{4}$(x+6)
This is point-slope form.
y-1=-$\frac{3}{4}$(x)-$\frac{3}{4}$(6)
y-1=-$\frac{3}{4}$x-$\frac{18}{4}$
y-1=-$\frac{3}{4}$x-$\frac{9}{2}$
y-1+1=-$\frac{3}{4}$x-$\frac{9}{2}$+1
y=-$\frac{3}{4}$x-$\frac{9}{2}$+$\frac{2}{2}$
y=-$\frac{3}{4}$x-$\frac{7}{2}$
This is slope-intercept form.