Question

Question 23 of 23

Which of the following equations represents a line that is perpendicular to
y = -3x+6 and passes through the point, (3, 2)?
O A. y = -x +1
B. y=-3x+1
O C. y = {x+3
O D. y -- 5x+1
SUBMI

Answer 1

y=1/3x+1

Explanation:

Perpendicular lines have an opposite reciprocal slope, so the first step would be to find the slope perpendicular to -3.

-3 -> -3/1 -> -1/3 -> 1/3

So we know the perpendicular slope is 1/3. Now we need to find the y-intercept that goes with the perpendicular slope so that the line will pass through the point (3,2):

y=mx+b

2=1/3(3)+b

2=1+b

1=b

b=1

Therefore, the correct equation is y=1/3x+1