Linear functions

Question

If a graph is a line that is perpendicular to the line g(x) = 8x − 4
and contains the point (1, 3),
determine the linear function.

Answer 1

When a line is perpendicular, we take the negative inverse of the original line's slope:

8 ⇒ -¹/₈

From here, we can use the point slope formula to find the proper equation:

y - y₁ = m(x - x₁)

y - 3 = -1/8(x - 3)

 

Solve for y, and you'll have your line.