Answer:
point-slope form: [tex]y-8=\frac{-1}{3} (x+12)[/tex]
slope-intercept form: [tex]y=\frac{-1}{3} x+4[/tex]
Step-by-step explanation:
First, we find our slope using the slope formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex](-12,8)\\(x_{1},y_{1})[/tex] [tex](9,1)\\(x_{2},y_{2})[/tex]
[tex]m=\frac{-1}{3}[/tex] or [tex]m=0.333333333[/tex]
To write an equation of a line that passes through two points in the point-slope form we use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]
To write an equation of a line that passes through two points in the slope-intercept form we use the slope-intercept formula [tex]y=mx+b[/tex]
