SOLUTION: FIND AN EQUATION FOR THE LINE WITH y-INTERCEPT 3 THAT IS PERPENDICULAR TO THE LINE Y= 2/3x-4.

Algebra.Com
Question 62549:
FIND AN EQUATION FOR THE LINE WITH y-INTERCEPT 3 THAT IS PERPENDICULAR TO THE LINE Y= 2/3x-4.

Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!

FIND AN EQUATION FOR THE LINE WITH y-INTERCEPT 3 THAT IS PERPENDICULAR TO THE LINE Y= 2/3x-4.
Perpendicular lines have slopes that are negative reciprocals of each other. That's a fancy word for opposite singed and upside down.
The slope intercept form of a line is , where m=slope and b=y-intercept.
:
The line they gave you has a slope of, , m=2/3.
Any line pependicular to this one is going to have a slope of m=-3/2.
They told you that they wanted this line to have a y-intercept of b=3.
Plug these values into the slope intercept form and you have:

Happy Calculating!!!

RELATED QUESTIONS

find an equation for the line with y-intercept 3 that is perpendicular to the line... (answered by rchill)
Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x (answered by funmath)
Find an equation for the line with y-intercept 3 that is perpendicular to the line... (answered by uma)
find an equation for the line with y-intercept 3 that is perpendicular to the line... (answered by tutorcecilia)
Find an equation for the line with y-intercept 3 that is perpendicular to the line... (answered by malakumar_kos@yahoo.com)
Find an equation for the line with y-intercept 3 that is perpendicular to the line... (answered by malakumar_kos@yahoo.com)
Find an equation for the line with y-intercept 3 that is perpendicular to the line... (answered by malakumar_kos@yahoo.com)
Find an equation for the line with y-intercept 3 that is perpendicular to the line:... (answered by jim_thompson5910)
Find an equation for the line with y-intercept 3 that is perpendicular to the line... (answered by jake_6233)