Question

Write an equation in slope intercept form for the line that passes through (3,2) and is perpendicular to the like described by y=3x-1

Answer 1

y= -1/3x + 3

Explanation:

Given line:

• y= 3x - 1

The line perpendicular to the given has the slope of -1/m, so it is:

• y= -1/3x+b

Considering the point (3.2), we can find the y-intercept:

• 2= -1/3*3 +b ⇒ 2= -1 +b ⇒ b= 2+1= 3

So the line we are looking is:

• y= -1/3x + 3