Question

Please answer this multiple choice question !! Thank u !! Will give brainliest!!

Answer 1

Answer:

B: 3/2x - 7 + 3 = 0

Step-by-step explanation:

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Answer 2

Answer: C

Step-by-step explanation:

General form is in Ax+By+C. To do this, you move everything onto one side.

$\frac{3}{2}x -y+3=0$

This should be the general form, but this is not correct in these answer choices! Let's try this another way to get Ax+By+C by making Ax not a fraction.

$y=\frac{3}{2} x-3$

$y+3=\frac{3}{2} x$

$2(y+3)=3x$

$2y+6=3x$

$3x-2y-6=0$

This may seem incorrect, but we can always check our answer by plugging in numbers.

In our slope intercept form, let's say x=2. What would be our y?

$y=\frac{3}{2} (2)-3$

$y=3-3$

$y=0$

Now we know our coordinates should be (2, 0). When we rewrite the slope-intercept form, we should still get 0 when we plug in x=2 and y=0. Let's check on all answer choices to see which one works.

A. Correct

-3(2)+2(0)+6

-6-6=0

0=0

B. Incorrect

3/2(2)-(0)+3

3+3=6

6≠0

C. Correct

3(2)-2(0)-6

6-6=0

0=0

D. Incorrect; not general form

2(0)=3(2)-6

0=6-6

Now, you can see that A and C are both correct, but the main difference, is that you want to make A positive. The only option where A is positive is in answer C.