Question

Match the question with its graph.
4x + 6y = 12
A. https://snag.gy/Ag3BnR.jpg
B. https://snag.gy/9hubOk.jpg
C. https://snag.gy/7YvkbM.jpg
D. https://snag.gy/rM7ODa.jpg

Answer 1

@mathstudent55

Answer 2

@helpkay

Answer 3

@johnweldon1993

Answer 4

Solve the given equation for y.

Answer 5

I dont know how to solve it can you help?

Answer 6

How do I find out what x and y is?

Answer 7

@mathstudent55

Answer 8

@emyoung0 do you know it?

Answer 9

First, subtract 4x from both sides.

Answer 10

okay so then 4x - 12? 8x?

Answer 11

Start by putting each equation in slope-intercept form. For the first equation, you have

4x + 6y = 12
4x + 12 = 6y
(2/3)x + 2 = y

Now that it is in this form, you know that the y-intercept is (0, 2). Then find another point on the line by plugging in any value for x and seeing what value of y is returned. Let's use x = 3. I substitute x = 3 into the equation above and get y = 0. So (3, 0) is a point on the line. Graph the two points on the Cartesian coordinate system and then simply draw a straight line passing through the two points. This is your graph. Now, match this up with on of the graphs listed.. That will be your answer.

Answer 12

Wait I am a little confused so would it be C or D?

Answer 13

@emyoung0

Answer 14

It is a positive incline. Your answer is C

Answer 15

Oh awesome thanks! Mind answering some more? I'll repost then tag.

Answer 16

Sure :)

Answer 17

Here is the given equation.
4x + 6y = 12

Solve it for y.

4x + 6y = 12

6y = -4x + 12

\(y = -\dfrac{4}{6}x + 2\)

\(y = -\dfrac{2}{3}x + 2\)

The given equation is now solved for y.
From this you see that the y-intercept is 2.
Also, you see that the slope is negative.

A positive slope means the line goes up to the right.
A negative slope means the line goes down to the right.
A y-intercept of 2 means the line crosses the y-axis at 2.

Look at all 4 graphs, and find the line that has a negative slope and a y-intercept of 2.

Answer 18

@emyoung0

You need to double check on your math.

"4x + 6y = 12
4x + 12 = 6y
(2/3)x + 2 = y "

which is incorrect.

This equation has a negative slope, so your choice is also incorrect.

Answer 19

Oh okay so D?

Answer 20

Thanks, @mathstudent55 I see where I missed a step.

Answer 21

Yes. D is the answer.