Question

Which of the following is the equation of a line that is parallel to -12x +3y = -9 and

passes through the point (2, 1)?

Answer 1

y=4x-7

Explanation:

Add 12x to both sides to get 3y=12x-9

Divide by 3 to get y=4x-3

If the line is parallel, the slope is still 4x. So it is y=4x+n.

If in the coordinate point, x=2, and y=1, then the equation is now:

1=(4*2)+n, or 1=8+n

Subtract 8 from both sides to get n=-7

So, the equation is y=4x-7