SOLUTION: (0,-7), {{{4x+3=y}}}, can you tell the equation of the line containing the specified point and perpendicular to the indicated line.

Algebra ->  Equations -> SOLUTION: (0,-7), {{{4x+3=y}}}, can you tell the equation of the line containing the specified point and perpendicular to the indicated line.      Log On


   

Question 771282: (0,-7), 4x%2B3=y, can you tell the equation of the line containing the specified point and perpendicular to the indicated line.
Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2B3=y
y=highlight%284%29x%2B3 --> The highlighted part represents the slope, m.
y=mx%2Bc ... Substitute x=0, y=-7 and m=4 into y=mx%2Bc
-7=4%280%29%2Bc
-7=c
c=-7
y=4x-7
Therefore, the equation of the line containing the specified point (0,-7) is y=4x-7.
m%5B1%5D%2Am%5B2%5D=-1
4%2Am%5B2%5D=-1
m%5B2%5D=-1%2F4
y=mx%2Bc ... Substitute x=0, y=-7 and m=-1%2F4 into y=mx%2Bc
-7=%28-1%2F4%29%280%29%2Bc
-7=c
c=-7
y=%28-1%2F4%29x-7%29
4y=-x-28%29
Therefore, the equation of the line which is perpendicular to the indicated line is 4y=-x-28%29.