SOLUTION: A line passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 what is the equation of the line?

Algebra.Com
Question 480586: A line passes through the point (-2,-5) and is perpendicular to the line -2x+y=9
what is the equation of the line?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Line perpendicular to the line:
-2x+y=9 OR y = 2x+ 9 slope m = 2
New Line: y = mx + b
y = (-1/2)x + b |Has a slope that is the negative reciprocal of m = 2
y = (-1/2)x + b |Using Pt(-2,-5) to solve for b
-5 = (-1/2)*-2 + b
-6 = b
Equation of the new Line is y = (-1/2)x - 6


RELATED QUESTIONS

what is the equation of the line that passes through the point (-2,-5) and is... (answered by Alan3354)
what is an equation of the line that passes through the point (-2,5) and is perpendicular (answered by solver91311)
what is the equation of a line that is perpendicular to the line y=-2/5x-5 and passes... (answered by ewatrrr)
Find the equation of a line passes through the point (-8,4) and is perpendicular to the... (answered by checkley77)
What is the equation of a line that is perpendicular to y=4x+5 and passes through the... (answered by Fombitz)
What is the equation of a line that is perpendicular to y=-4x-2 and passes through the... (answered by Fombitz,robertb)
Find the equation for the line that passes through the point (-1,4) and that is... (answered by nerdybill)
line p passes through point A(1,2)and is perpendicular to the line 3y=2x+3. Determine the (answered by josgarithmetic)
Line p passes through point A(1,2) and is perpendicular to the line 3y=2x+3. Determine... (answered by josgarithmetic)