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) (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:
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