Question

Find the x - and y-intercepts of the graph of the linear equation 2x + 3y = 12.

Answer 1

Answer:

Y intercept = (0,4)

X intercept = (6,0)

Step-by-step explanation:

• First you need to make the equation slope intercept form.

2x+3y=12

To do so, you need to get y on it's own (or on one side)

• Subtract 3y from the left side.

-3y+12=2x

• Then, divide everything out by -3

y-4=-2/3x

• Add four to the other side

y= -2/3x +4

-2/3x= slope while 4= y intercept

You can also graph it on desmos and find the y intercept and x intercept

Answer 2

Answer:

To find the y intercept and the x intercept we can use Standard form: Ax+By=C

X intercept: (6,0)

Y intercept: (0,4)

Step-by-step explanation:

When you wanna find the X intercept all you have to do is plug in 0 for the value of y. For example, 2x+3(0)=12 now solve.

Once you solve it, you get 2x=12. Now we divide and get x=6, we also know that since its the x intercept, the 6 will be the first digit of the ordered pair. (6,0).

Hope this helps! :) (Side note: the same goes for the y side, you plug in 0 for the x!)