Answer: y = -3x + 27
Slope = -3
Y intercept = 27
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Step-by-step explanation:
The given line is in the form y = mx+b. Here we have m = -3 as the slope.
Any line parallel to this also has the same slope. Parallel lines have equal slopes but different y intercepts.
The parallel line has slope m = -3.
We want the parallel line to go through (x,y) = (9,0). So x = 9 and y = 0 pair up.
Plug m = -3, x = 9 and y = 0 into the equation below. Solve for b.
y = mx+b
0 = -3(9) + b
0 = -27 + b
27 = b
b = 27
You could also use point slope form
y - y1 = m(x - x1)
y - 0 = -3(x - 9)
y = -3(x-9)
y = -3x - 3(-9)
y = -3x + 27
and we'd get the same result.