SOLUTION: Find the equation of the line that passes through (2,-3) and is perpendicular to the line 2x-y=10

Question 772495: Find the equation of the line that passes through (2,-3) and is perpendicular to the line 2x-y=10
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the equation of the line that passes through (2,-3) and is perpendicular to the line 2x-y=10
***
Equation of a line: y=mx+b, m=slope, b=y-intercept
2x-y=10
y=2x-10
slope,m=2
Slope of perpendicular line=-1/2 (negative reciprocal of slope of given line)
equation:
y=-x/2+b
solve for b using coordinates of given point (2,-3)
-3=-2/2+b
b=-2
Equation of perpendicular line:
y=-x/2-2
RELATED QUESTIONS
Please help Find the equation of the line that passes through (3,-1) and is perpendicular (answered by checkley77)

For the line given by the following equation, find the equation of the line that is... (answered by richwmiller)

Write the equation of the line that passes through the point (2,-4) and is perpendicular... (answered by scott8148)

find the equation of the line that is perpendicular to y= -3/5x+2 and passes through... (answered by jim_thompson5910)

Find the equation of the line that passes through the point (3,-5) AND is perpendicular... (answered by erica65404)

Find the equation of the line that passes through the point (-2, 4) and is perpendicular... (answered by josgarithmetic)

find the equation of the line that is perpendicular to the line y=2x-3 and passes through (answered by jim_thompson5910)

SOLUTION: find the equation of the line that is perpendicular to the line y=2x-3 and... (answered by Alan3354)

Find the equation of the line that passes through (3,-5) and is perpendicular to the line (answered by checkley71)