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

Question

Find an equation of the line that satisfies the given conditions.

Through (−1, −3);  perpendicular to the line 2x + 7y + 8 = 0

Answer 1

Hi Jeffrey,

Perpendicular lines have slopes that are negative reciprocals of each other, meaning that m₂ = -1/m₁.

So just find the negative reciprocal of the slope of the given line, then use point slope form to find the equation of the line with that slope through the given point.