Question

Write the equation of the line that is perpendicular to the line y = x + 4 and passes through the point (−6, 3).

Answer 1

Perpendicular lines have a slope that is the negative reciprocal. Then plug it into y = mx + b
y = -1x + b
3 = -1(-6) + b
3 = 6 + b
b = -3
Therefore, y = x - 3