SOLUTION: Which equation represents the line that passes through point (4,2) and is perpendicular to the line repressented by the equation y=-1/2x+3?
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Question 781277: Which equation represents the line that passes through point (4,2) and is perpendicular to the line repressented by the equation y=-1/2x+3? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Which equation represents the line that passes through point (4,2) and is perpendicular to the line repressented by the equation y=-1/2x+3?
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Equation of a line: y=mx+b, m=slope, b=y-intercept
y=-1/2x+3
slope of given line=-1/2
slope of perpendicular line=2(negative reciprocal)
Equation of perpendicular line:
y=2x+b
solve for b using coordinates of given point (4,2) on the line
2=2*4+b
b=-6
Equation:
y=2x-6
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