SOLUTION: Write the equation of a line in slope intercept form that is perpendicular to the line 3x-4y=9 passing through the point (-3,4).

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: Write the equation of a line in slope intercept form that is perpendicular to the line 3x-4y=9 passing through the point (-3,4).      Log On

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Question 31788This question is from textbook Lial-Intermediate Algebra
: Write the equation of a line in slope intercept form that is perpendicular to the line 3x-4y=9 passing through the point (-3,4).This question is from textbook Lial-Intermediate Algebra

Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
Equation of the line perpendicular to 3x-4y=9 is 4x+3y=k
Since it passes through the point (-3,4), it must satisfy the equation.
4x+3y=k
=> 4(-3)+3(4)=k
=> -12+12=k
=>k=0
The required equation is 4x+3y=0
When translated to slope-intercept form,
3y=-4x
=> y = (-4/3)x