Question

What is the equation of the line that passes through the points (−3, 2) and (−5, 8)?

Answer 1

Answer:

The equation of the line is y = -3x - 7

Step-by-step explanation:

To find the equation of the line, we first need the slope. We can get that by using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (8 - 2)/(-5 - -3)

m = (8 - 2)/(-5 + 3)

m = 6/-2

m = -3

Now that we have the slope, we use the slope and the given point in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y - 2 = -3(x + 3)

y - 2 = -3x - 9

y = -3x - 7