SOLUTION: What is the equation of the line in slope-intercept form that is perpendicular to the line y =-2x-1 and passes through the point (2,1)?

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Question 1134410: What is the equation of the line in slope-intercept form that is perpendicular to the line y =-2x-1 and passes through the point (2,1)?
Answer by mathsolverplus(88) About Me  (Show Source):
You can put this solution on YOUR website!
Given y=-2x-1,
slope = -2 (simply the coefficient of x)
Slope of the line that is perpendicular to that:
Negative reciprocal of -2 = 1%2F2
y=%281%2F2%29x%2Bb Substitute (2,1) to find b
1=%281%2F2%29%282%29%2Bb
b=0
Therefore, the equation of the line is
y=%281%2F2%29x

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