Question

Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)

Answer 1

Answer:

y = (1/2)x - 21/2

Step-by-step explanation:

since both lines are parallel, both have the slope 1/2.

Start with the equation y = mx + b, and find b, when m = 1/2, x = 9 and y = -6:

-6 = (1/2)(9) + b

Mult. all terms by 2 removes the fractional coefficient 1/2:

-12 = 9 + 2b.

Then -21 = 2b, and b = -10 1/2, or -21/2.

The equation of the line is y = (1/2)x - 21/2.