Write the equation of the line containing the given point and parallel to the given line.

The equation of the line is y=

Express your answer in the form y=mx+b.
(-8,9); 2x=9y+4

1 answer

find slope
9y = 2x - 4
y = (2/9) x -4/9
slope = m = 2/9 for this line and all parallel lines

y = (2/9) x + b
9 = (2/9)(-8) + b
81 = -16 + 9 b
b = 97/9
so
y = (2/9) x + 97/9
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