Which equation passes through (4,7) and is parallel to -3x+y=4

Question

Which equation describes the line that passes through the point (4,7) and is parallel to the line represented by the equation -3x+y=4?

Answer 1

Parallel lines have the same slope, m.

The line -3x + y = 4 is in standard form

Put the line in Slope intercept form by solving for y

Slope Intercept Form

y = mx + b

y = 3x + 4

m = 3

You can use the point (4,7) and the slope 3 to calculate b for the parallel line.

7 = 3(4) + b

7 = 12 + b

7 - 12 = b

-5 = b

So

The parallel line is

y = 3x - b