Write the equation of the line which has y-intercept?

Question

Write the equation of the line which has y-intercept
(0, -2) and is perpendicular to the line with equation y = –3x + 1.

Answer 1

y=mx+b where b is the y-intercept and m= slope

Perpendicular slopes are opposite reciprocals. -3's opposite reciprocal is 1/3. (opposite reciprocals multiply to -1)
-3*1/3= -1

You have the y intercept -2, so

y= 1/3x-2 is the answer.

Answer 2

Hello,

To be perpendicular the slopes must be opposite reciprocals. So the slope of our line must be 1/3. Then the equation looks like y = 1/3x + b where b = the y-intercept. Then putting in our point we have.

-2 = -2*(0) + b so b = -2 then our equation is y = (1/3)x -2

Hope This Helps!!