Question

Find the equation of a line that is perpendicular to the line y = 1/9x +6 and contains the point (-7,0).

Answer 1

• y = -9x - 42

Explanation:

Perpendicular lines have negative reciprocal slopes

Given line:

• y = 1/9x + 6

Perpendicular line is:

• y = - 9x + b and passes through the point (-7, 0)
• 0 = -9*(-7) + b
• b = - 42

So the line is:

• y = -9x - 42