SOLUTION: Two perpendicular lines pass through the point (4,7). If the first line passes through the origin. find the equation of the second line.

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Question 1129804: Two perpendicular lines pass through the point (4,7). If the first line passes through the origin. find the equation of the second line.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

For the first line passing through the origin:
y - 0 = (7/4)(x - 0) —> y = (7/4)x

The slope of the perpendicular line will therefore be -4/7, so that line has the equation:
y - 7 = (-4/7)(x - 4)

Or in slope-intercept form:
+highlight%28+y+=+%28-4%2F7%29x++%2B+%2865%2F7%29+%29+