Question

Select the correct graph of -4x + 3y = 6.

Answer 1

How do I solve this?

Answer 2

can you put a picture of the graphs up, if so i can help you

Answer 3

to find the x intercept,sub in 0 for y
to find the y intercept,sub in 0 for x

Answer 4

Alright I'll give it a try :)

Answer 5

-4x + 3y = 6.

so sub 0 for y...

4x + 3(0) = 6

4x = 6?
/4 /4
x = 1.5?

Answer 6

and sub 0 for x...

-4(0) + 3y = 6
3y = 6
/3 /3
y = 2?

Answer 7

or put it in y = mx + b
-4x + 3y = 6
3y = 4x + 6
y = 4/3x + 2

slope(m) is 4/3. y intercept(b) = 2

plot your 2 on the y line. go up 4 and to the right 3 and up 4 and to the right 3.
and you x intercept is : -4x + 3y = 6
-4x + 3(0) = 6
-4x = 6
x = -6/4
x = - 1.5

Answer 8

plot your point on the x line at -1.5 and on the y line at 2.

Answer 9

and from the -1.5, go up 4 and to the right 3 (rise/run) and it should cross the y line at 2

Answer 10

so the location on the chart would be -1.4, 2 and the slope 4/3?

Answer 11

-1.5 is x intercept
2 is y intercept
slope is 4/3

Answer 12

Could you explain to me how you found the slope a bit more?

Answer 13

would that be the line?

Answer 14

I think it is because the line intercepts x at 1.5 and 2 at the y line. and the slope is also up 4 over 3

Answer 15

of course....in the formula y = mx + b, the slope is in the m spot.
so put your equation in the y = mx + b form.

-4x + 3y = 6 (add 4 to both sides)
3y = 4x + 6 (now divide by 3)
y = 4/3x + 2
you can see the m spot has 4/3, so that is your slope.

you are correct.....that is the line

Answer 16

any questions ?

Answer 17

I think I'm good, thanks for your help :)

Answer 18

I'm probably going to be posting some more questions like this aswell :)