Question

Find the equation of the line through point (1,−5) and perpendicular to y=18x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

Answer 1

y = -1/18x - 89/18

Explanation:

Step 1: Find the slope of the perpendicular line

Do this by taking the negative reciprocal of the original line

m = -1/18

Step 2: Find b

y = -1/18x + b

-5 = -1/18(1) + b

-5 = -1/18 + b

b = -89/18

Step 3: Rewrite entire equation

y = -1/18x - 89/18