Find the line parallel to y = -3x + 1 that passes through (9, 0). show steps PLLS

Slope = -3

Y intercept = 27

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.