SOLUTION: write an equation of the line through (1,1) perpendicular to line y=2x+10 please.

Question 517605: write an equation of the line through (1,1) perpendicular to line y=2x+10 please.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
write an equation of the line through (1,1) perpendicular to line y=2x+10
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Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
For given equation: y=2x+10
slope=2
slope of line perpendicular to given equation=-1/2 (negative reciprocal of slope of given equation)
Equation of line thru (1,1):
y=-x/2+b
solving for b using coordinates of given point (1,1)
1=-1/2+b
b=1+1/2=3/2
equation of perpendicular line: y=-x/2+3/2
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