Question

Write an equation of the line that passes through (1,5) and is perpendicular to the line shown.

Answer 1

Answer:

• y = 3x + 2

Step-by-step explanation:

The line on the graph has points:

• (- 3, 4) and (3, 2)

Its slope is:

• m = (2 - 4)/(3 - (- 3)) = - 2 / 6 = - 1/3

Perpendicular line has opposite reciprocal slope:

• m = - 1 / (- 1/3) = 3

And the line passes through the point (1, 5).

Find the equation of the line:

• y - y₁ = m(x - x₁)
• y - 5 = 3(x - 1)
• y = 3x - 3 + 5
• y = 3x + 2