Posted by jackson on Thursday, January 5, 2012 at 11:29pm.
On a map of downtown, 12th street is perpendicular to Avenue J. The equation y=4x+3 represents 12th street. What is the equation representing Avenue J if it passes through the point (8,16)?

math  Reiny, Friday, January 6, 2012 at 9:23am
slope of 12th street = 4
so slope of Ave J = 1/4
so now you have m and a point
new equation:
y = (1/4)x + b
but (8,16) lies on it
16 = (1/4)(8) + b
16 = 2 + b
b = 14
y = (1/4)x + 14
In my class the question would have been worded this way:
Find the equation of the perpendicular to y = 4x +3, which passes through (8,16)
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