Answer:
y + 8 = 2(x+6)
Step-by-step explanation:
To write the equation of a line, calculate the slope between points (-7,-10) and (-6,-8). After, substitute the slope and a point into the point slope form.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{-8--10}{-6--7}= \frac{2}{1} = 2[/tex]
Substitute m = 2 and the point (-6, -8) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y --8 = 2(x--6)\\y + 8 = 2(x+6)[/tex]