Question

What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)? A. y + 10 = -2(x + 7) B. y - 10 = -2(x - 7) C. y + 10 = 2(x + 7) D. y - 10 = 2(x - 7)

Answer 1

y + 8 = 2(x+6)

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.

`m = (y_2-y_1)/(x_2-x_1) = (-8--10)/(-6--7)= (2)/(1) = 2`

Substitute m = 2 and the point (-6, -8) into the point slope form.

`y - y_1 = m(x-x_1)\\y --8 = 2(x--6)\\y + 8 = 2(x+6)`