Question

Which of the following points (x,y) lies on the graph of 8x+2y=24

Answer 1

The point that lies on the graph of the equation 8x+2y=24 is (6, -12). We determine this by substituting the x and y values of each point into the equation and checking for equality with 24.

To determine which of the given points lies on the graph of the linear equation 8x+2y=24, we can plug the x and y coordinates of each point into the equation and see if the equation holds true.

For the point (-1, 8), we substitute x with -1 and y with 8:

• 8(-1) + 2(8) = -8 + 16 = 8, which is not equal to 24, so this point does not lie on the graph.

For the point (6, -12), we substitute x with 6 and y with -12:

• 8(6) + 2(-12) = 48 - 24 = 24, which is equal to 24, so this point lies on the graph.

For the point (8, 2), we substitute x with 8 and y with 2:

• 8(8) + 2(2) = 64 + 4 = 68, which is not equal to 24, so this point does not lie on the graph.

Therefore, the point that lies on the graph of the given equation is (6, -12), which meets the dependence of y on x as illustrated by the equality.

the complete Question is given below:

Which of the following points (x,y) lies on the graph of 8x+2y=24

0 (-1, 8)

(6,-12)

(8, 2)

Answer 2

Explanation:

So if I understand what you are asking, you first want to get the equation into point slope form. (y = mx + b)

The way you do this is by taking 8x + 2y = 24 and subtract 8x from both sides to get y alone.

2y = -8x + 24 is what you get.

After this you can divide everything by 2 so you get y all by itself.

y = -4x + 12

this is your point slope form equation. -4 or (m) is your slope so now you can figure out what points the line is going to hit.

Hopefully I understood what you were asking and was able to help!!

(if not feel free to let me know and i'll try again)

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