Question

How do I do this and what is the answer?

Write the equation of the line that is parallel to the line 4x - 3y = -12 and passes through the point (-3, 4).

A) y = 4/3 x + 8
B) y = 4/3 x + 3
C) y = - 3/4 x +8
D) y = - 3/4 x + 3

Answer 1

Well you would put the equation into slope intercept form first.

Answer 2

Do you know how to do that? @jut21

Answer 3

no

Answer 4

@teagirl7630

Answer 5

ah okay. So to get the equation into slope intercept form, you have to get the y alone. The equation for slope intercept form is y=mx+b. Your original equation is 4x-3y=-12. The way to get this into slope intercept form is to isolate the y. Do you understand how to do that? @jut21

Answer 6

not really... sorry

Answer 7

That's okay! So the original equation is: 4x-3y=-12. So the first thing when isolating the y is to move the 4x to the other side. So the equation then looks like this: -3y=-4x-12. You want y alone, so you have to divide both sides of the equation by -3. The equation would then look like this : y=4/3x+4. Does that make sense?

Answer 8

@jut21

Answer 9

So then the answer to the question would be B) y=4/3x+3. Oh and the slope intercept equation is y=mx+b. And the answer to the question satisfies that. :) If you need more explanation just tag me in your question again.

Answer 10

@teagirl7630 are you sure that the answer is not A)?