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

Question 40995: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x-4y=9 and passing through (-2,-1)
Answer by zeynep(43) (Show Source): You can put this solution on YOUR website!
the formula for the slope of a line is; -(coefficient of x/coefficient of y)
so the slope of the line, 3x-4y=9, is ; 3/4.
the product of the slopes of two perpendicular lines is -1.
Therefore, the slope of the new line is -1/(3/4)=-4/3
A line going through the point (a,b) and having slope of m would have the equation;
y-a=m(x-b)
Therefore the equation for our new line is;
y+1=-4/3(x+2)
y+1=-4/3x-8/3 (if we multiply both sides by 3)
3y+3=-4x-8
4x+3y+11=0

RELATED QUESTIONS
Find the equation of the line perpendicular to 3x � 4y = 9 and passing through (-2, -1).... (answered by Mathtut)

Find the equation of the line perpendicular to 3x � 4y = 9 and passing through (-2, -1).... (answered by Alan3354)

Find the equation of the line perpendicular to 3x-4y=9 and passing through (2,-1). Write... (answered by jim_thompson5910)

Find the equation of the line perpendicular to 3x � 4y = 9 and passing through (-2, -1).... (answered by Mathtut)

Find the equation, in standard form, with all integer coefficients, of the line... (answered by Nate)

Find the equation, in standard form, with all integer coefficients, of the line... (answered by checkley71)

find the equation, in standard form, with all integer coefficients, of the line... (answered by chitra)

Find the equation, in standard form, with all integer coefficients, of the line... (answered by stanbon)

Find the equation, in standard form, with all integer coefficients, of the line... (answered by stanbon,checkley71)