Math
posted by Lina .
Write your answer in standard form. Show all your work if you want to be eligible for partial credit.
Write the equation of a line perpendicular to the line y = (2/3)x  7 and passing through the point (4,2).
The slope of the line y = (2/3)x  7 is 2/3. The slope of a line perpendicular to this line must be its negative reciprocal, or 3/2.
Using the pointslope form to find the other line:
y  y1 = m(x  x1)
y  (2) = 3/2(x  4)
y + 2 = (3/2)x + 6
y = (3/2)x + 4
In standard form:
(3/2)x + y = 4
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