Find an equation of the line that satisfies the given conditions. Through (−1, −3); perpendicular to the line 2x + 7y + 8 = 0

Answer 1

First, solve for y in the equation to get it into slope intercept form.

Next, do the opposite reciprocal of the slope (opposite sign and flipped fraction)

Plug that slope into y=mx+b for m

Then, plug your (-1,-3) in for the y and x into the same equation.

Solve for b

Nor plug the perpendicular slope, and the b in, and there is your equation.