Question

Line is parallel to y=-2/3x+3 and passes through (3,-4). Graph both lines.

Answer 1

remember a parallel line has the same slope as the other line

Answer 2

let the other line be \(y=mx+b\)
1. parallel lines have identical slopes
2. passes through the given point. so, you can now get your y-intercept

Answer 3

now that you have the complete equation, you can happily draw it

Answer 4

so now that you have the slope....and a point you want to pass through

use the point slope formula

y - y1 = m(x - x1)
where y1 is your y point
x1 is your x point
and
m is your slope

Answer 5

by the way, just noticed that your oriinal line does not have the "x" term in it

Answer 6

thanks guys.

Answer 7

a medal is in order