Question

Find an equation of the line passing through the point (−3,−7) that is perpendicular to the line y= −5x+4

Answer 1

y = 1/5x - 6.4

Explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be 1/5

Then, plug the slope and the point into the equation y = mx + b to find b

y = mx + b

-7 = 1/5(-3) + b

-7 = -0.6 + b

-6.4 = b

Then, plug this and the slope into the equation

y = 1/5x - 6.4 will be the equation