Question

Determine whether the given point (2,-2) lies on the line 3x-y=4 yes or no?

Answer 1

To determine whether the point is on the line, substitute/plug in either the x-value or the y-value of the point into the equation to see if it equals out:

3x - y = 4 I will use the x-value of the point, 2.

3(2) - y = 4

6 - y = 4 To find the value of "y", isolate/get the variable "y" by itself in the equation. Subtract 6 on both sides

6 - 6 - y = 4 - 6

-y = -2 Divide -1 on both sides to get "y" by itself

y = 2 -----> (2, 2)

No, this point is not on the line because when x is 2, y equals 2 not -2.

Answer 2

No

Explanation:

For this problem you would solve for either x or y. Since it is easier to solve for y, I will do so in this problem. I multiplied both sides by -1 so that I can get rid of the negative sign on the left side of the equation

`3x-y=4\\-y=4-3x\\y=3x-4`

Now, we plug in 2 for x since they gave us (2, -2).

`y=3(2)-4\\y=6-4\\y=2`

From this we can see that (2, -2) does not lie on the line since the problem gave us 2 and not -2.

Hope this helps <3