Answer:
[tex]y-1=2(x+7)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where a given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]
1) Find the slope of the line (m)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (-7,1) and (-3,9)
[tex]= \frac{9-1}{-3-(-7)}\\= \frac{8}{-3+7}\\= \frac{8}{4}\\= 2[/tex]
Therefore, the slope of the line is 2. Plug 2 into the equation as m:
[tex]y-y_1=2(x-x_1)[/tex]
2) Plug one of the given points into the equation
We plan either plug in (-7,1) or (-3,9) and it would work either way. Below you can see the equation plugging in the point (-7,1):
[tex]y-1=2(x-(-7))\\y-1=2(x+7)[/tex]
I hope this helps!
