Question

Write the equation of the line that is parallel to the line y = −3x + 12 and passes through the point (−1, 6)

y=1/3x+7

y=-3x+3

y=1/3x+3

y=-3x+7

Answer 1

since we have a point on the line we want, we need the slope.
in order to be parallel, we must have the same slope as the given line. what's the slope?

Answer 2

-1

Answer 3

nope.. y = -3x + 12
what's the slope of this line? remember y=mx+b, where m is the slope.

Answer 4

-3?

Answer 5

ok good.

Answer 6

so now you have slope, m=-3, and a point the line goes through, (-1, 6)

we can put that in point-slope form: y - y1 = m(x - x1)

Answer 7

once you have that, do some algebra and solve for y so you can make the appropriate choice... :)

Answer 8

How do I put it in the Slope-point form?

Answer 9

sorry, (x1, y1) is the point (-1, 6), and m is our slope.
copy my drawing and fill in those boxes.