Question

Determine the equation of the line that is perpendicular to the given line, through the given point

y=x-1; (-6,2)

Answer 1

y = -x - 4

Explanation:

Given line: y = x - 1

Slope of given line = 1

The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular line is -1.

slope = -1

point: (-6, 2)

y = mx + b

y = -x + b

2 = -(-6) + b

2 = 6 + b

b = -4

Equation:

y = -x - 4