What is the equation of the line in slope-intercept form that passes through the point (0, 3) and is perpendicular to the line y = 2x - 6?

Question

What is the equation of the line in slope-intercept form that passes through the point (0, 3) and is perpendicular to the line y = 2x - 6?

Choose one answer. Just give me the ANSWER. I need to check my own . and explanation too!

A. y =-1/2 x - 6
 

B. y =-1/2 x + 3
 

C. y =1/2 x - 6
 

D. y =1/2 x + 3

Answer 1

This is very much like the one with the parallel line, except that two lines perpendicular have negative reciprocal slopes. If the line you're given has a slope of 2, so the intersecting line has to have a slope of -1/2 (the opposite sign and the inverse). 

 

use y = mx + b again..... 

 

3 = (-1/2)(0) + b

 

That's easy, b = 3 

 

so the equation is y = -1/2 x + 3  choice B