Question 180809
POINT-INTERCEPT FORM = y= mx+ b
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If the line is parallel to y = -3x + 9, then the lines have THE SAME slope. In this case, the slope is m= -3

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To find the equation of the line, you need to use:
POINT-SLOPE FORM = Y- y = m(X -x)

The given point for which the line passes through is P(5, -3)
The slope of the line is m = -3
Then the equation of the line is given by
Y - (-3) = -3 (X - (5) ---> y + 3 = -3(X -5)
If they ask you to put it in point- intercept for, then you just have to solve for 'y'
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y= -3X + 12 <--