SOLUTION: The problem says: write the slope-intercept form of the equation of the line described:through (2,1) perp. to y=1/2x

Algebra ->  Linear-equations -> SOLUTION: The problem says: write the slope-intercept form of the equation of the line described:through (2,1) perp. to y=1/2x      Log On


   

Question 877609: The problem says: write the slope-intercept form of the equation of the line described:through (2,1) perp. to y=1/2x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of y+=+%281%2F2%29x is 1%2F2

Flip the fraction: 1%2F2 ----> 2%2F1+=+2
Flip the sign: 2 ----> -2

The perpendicular slope is -2. So m+=+-2

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y+=+mx%2Bb


y+=+-2x%2Bb Plug in m+=-2


1+=+-2%282%29%2Bb Plug in (x,y) = (2,1). Solve for b.


1+=+-4%2Bb


1%2B4+=+b


5+=+b


b+=+5


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Since m+=+-2 and b+=+5, the equation y+=+mx%2Bb turns into y+=+-2x%2B5

The perpendicular equation is y+=+-2x%2B5