Question

A line is perpendicular to y =

= 3x - 9
and intersects the point (3,2).
What is the equation of this
perpendicular line?
y = [?]x + []
Hint: Use the Point-Slope Form: y - y1 = m(x – X1)
Then write the equation in slope-intercept form.

Answer 1

y = 1/3x + 1

Explanation:

Point-Slope Form: y - y1 = m(x – x1)

y = 3x - 9 (3 is the slope)

*Perpendicular lines have reciprocal slopes. So 3/1 would be 1/3.

(3, 2)

y - y1 = m(x – x1)

y - 2 = 1/3(x - 3)

y - 2 = 1/3x - 1

+ 2 + 2

y = 1/3x + 1

Hope this helps!