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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