Find and equation of the line containing the given pairs -7-3and -2-9?

Answer 1

Let (x1, y1) = (-7, -3) and (x2, y2) = (-2, -9).

First, let's find the slope m:

m = (y2 - y1)/(x2 - x1) = (-9 - -3)/(-2 - -7) = (-9 + 3)/(-2 + 7) = -6/5

(y - y1) = m(x - x1) The point-slope form.

y - -3 = -6/5(x - -7)

y + 3 = -6/5(x + 7)

y + 3 = -(6/5)x - 42/5 add (6/5)x and subtract 3 at both sides;

y + (6/5)x = - 42/5 - 3

(6/5)x + y = -57/5 The general formula.