SOLUTION: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x – 4y = 9 and passing through (-2, -1).

Algebra ->  Inequalities -> SOLUTION: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x – 4y = 9 and passing through (-2, -1).      Log On


   

Question 40796This question is from textbook intermediate algebra
: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x – 4y = 9 and passing through (-2, -1). This question is from textbook intermediate algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
3x - 4y = 9
-4y = -3x + 9
y = (3/4)x - (9/4)
The slope is (3/4). We want perpendicular, so we take the opposite of the recipricol to get (-4/3).
Use point-slope form:
y+-+yp+=+m%28x+-+xp%29
y+%2B+1+=+%28-4%2F3%29%28x+%2B+2%29
y+=+%28-4%2F3%29x+-+%2811%2F3%29
%284%2F3%29x+%2B+y+=+-%2811%2F3%29
4x+%2B+3y+=+-11
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+.75x+-+2.25%2C+-4x%2F3+-+11%2F3%29+