Answer:
[tex]y + 5 = -8 (x+10)[/tex]
Step-by-step explanation:
The point-slope form of an equation is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula to write the equation of the line in point-slope form.
[tex]m[/tex] represents the slope, so substitute -8 in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. Thus, use the x and y values of the point (-10, -5) for the formula. Substitute -10 for [tex]x_1[/tex] and -5 for [tex]y_1[/tex]. This gives the following equation and answer:
[tex]y-(-5) = -8(x-(-10)\\y + 5 = -8 (x+10)[/tex]
