Find an equation for the line passing through the point (6, 5) and perpendicular to the line y=3x−4.

Question

I need help with this problem please!

Answer 1

Since it is perpendicular to the given line, its slope must be

m = -1/3

y = -x/3 + b

Use the given point to find b.

5 = -6/3 + b

b = 7

y = -x/3 + 7