SOLUTION: Write the slope-intercept form of the equation of the line passing through the point (4,4) and perpendicular to the line y=4/3x-2.

Algebra ->  Formulas -> SOLUTION: Write the slope-intercept form of the equation of the line passing through the point (4,4) and perpendicular to the line y=4/3x-2.       Log On


   

Question 1062675: Write the slope-intercept form of the equation of the line passing through the point (4,4) and perpendicular to the line y=4/3x-2.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Any line perpendicular to the line
+y+=+%284%2F3%29%2Ax+-+2+ will have slope
+m+=+-1%2F%284%2F3%29+
+m+=+-3%2F4+
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(4,4)
The general form for a straight line is:
+y+=+m%2Ax+%2B+b+
so far I have:
+y+=+%28-3%2F4%29%2Ax+%2B+b+
plug in the given point
+4+=+%28-3%2F4%29%2A4+%2B+b+
+4+=+-3+%2B+b+
+b+=+7+
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The equation is:
+y+=+%28-3%2F4%29%2Ax+%2B+7+
check my math!
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Here's the graph of the 2 equations: