Question

What is the equation of the Line that passes through (4,2) and is parallel to 3x-2y=-6?

Answer 1

3x-2y=-6 can be written as y=(3x/2)+3

Answer 2

I thought that it was-3/2+8

Answer 3

Nope. Parallel lines have the same slope. The slope for y=(3x/2)+3 is (3/2).

Answer 4

But none of my multiple choice answers don't. Match

Answer 5

That's the not equation for it to go through point, (4,2), that's the equation for 3x-2y=-6

Answer 6

A.-3/2x+8
B.3/2x-4
C.1/2x
D.2/3x-4

Answer 7

You have to input the point into another equation. (y-y1)=m(x-x1), where y1 is the point for y, and x1 is the point for x for the point you want. In this case, the point is (4,2)

Answer 8

y-2=(3/2)(x-4)

Answer 9

y-2=(3/2)x-6
+2 +2

y=(3/2)x-4

Answer 10

(3/2) is the slope (m), which is the same for parallel lines.

Answer 11

the -6 is (3/2) times -4. We distributed it to everything in (x-4).