SOLUTION: problem came from a worksheet. the equation of the line perpendicular to 3x-4y=9 and passing through (-2, -1). write the equation in standard form, with all integer coefficients.

Algebra ->  Linear-equations -> SOLUTION: problem came from a worksheet. the equation of the line perpendicular to 3x-4y=9 and passing through (-2, -1). write the equation in standard form, with all integer coefficients.      Log On


   

Question 167200: problem came from a worksheet. the equation of the line perpendicular to 3x-4y=9 and passing through (-2, -1). write the equation in standard form, with all integer coefficients.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular to 3x-4y=9 and passing through (-2, -1)
4y=3x-9
y=3x/4-9/4 (red line)
This line has a slope(m)=3/4.
Any perpendicular line will have a slope(m)=-4/3.
Y=mX+b
-1=-4/3*-2+b
-1=8/3+b
b=-1-8/3
b=(-3-8)/3
b=-11/3
Thus the desired line equartion is:
y=-4x/3-11/3 (green line)
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+3x%2F4+-9%2F4%2C+-4x%2F3+-11%2F3%29+ (graph 300x300 pixels, x from -5 to 5, y from -5 to 5, of TWO functions 3x/4 -9/4 and -4x/3 -11/3).