Respuesta :

Step-by-step explanation:

slope =-7+3/6+6=-1/3=slope

y-y1=slope(x-x1)

y+3=-1/3(x+6)=

y=-1/3-5

Answer: The equation of the line that passes through the points

(-6,3) and (6,-7) is y=-5/6x-2.

Step-by-step explanation:

First you need the equation to find the slope [tex]m=\frac{y_2 -y_1 }{x_2-x_1}[/tex], and then you'll need to find the y-intercept

[tex]m=\frac{-7-3}{6-(-6)}\\\\m=\frac{-10}{12}\\\\m=\frac{-5}{6}[/tex]

b=-7-(-5/6)(6)=-2, you can do it on both points it doesn't matter.

b=3-(-5/6)(-6)=-2

Hope this helps, have a BLESSED AND WONDERFUL DAY! As well as a great Black History Month and Valentine's day! :-)

- Cutiepatutie ☺❀❤