ASAP (MEDAL+FAN) Does anyone know what this is? (PIC)

Question

nptweezy · Answer

help please

nptweezy · Answer

@Directrix

mathstudent55 · Answer

The slope-intercept form of the equation of a line is

$y = mx + b $

where
$m$ = slope, and
$b$ = y-intercept.

mathstudent55 · Answer

You are told that the slope is $ \dfrac{3}{2} $. We can substitute this value for m:

$y = \dfrac{3}{2}x + b$

Now we need b.

nptweezy · Answer

b is -4 @mathstudent55

mathstudent55 · Answer

$b$ is the y-intercept. That is the point where the line crosses the y-axis.
The point you were given is (0, -4) which is on the y-axis. Therefore, -4 is the y-intercept, or b. Now we can add that to the equation:

$ y = \dfrac{3}{2}x - 4 $

mathstudent55 · Answer

Exactly.

mathstudent55 · Answer

Now all we need is to make our equation look like one of the choices.
Our equation has a denominator of 2, but none of the choices have a denominator. Let's multiply our entire equation by 2 to get rid of the denominator.

nptweezy · Answer

I got the answer its D I solved thank you

mathstudent55 · Answer

$2y = 3x - 8$
Now let's rearrange the terms:

$3x - 2y = 8$

mathstudent55 · Answer

Is that what you got?
Choice D.