Question

The graph of 3x - 2y = 6 does not pass through (4, -3) (-2, -6)

Answer 1

In order to solve the True or False problem we have to actually graph the problem (3x-2y=6).

As we can tell the slope is 3/2 and the Y-Intercept is -3

Here is the graph:

Answer 2

The graph of
`3x-2y=6` does not pass through (4,-3)

Explanation:

We have the expression
`3x-2y=6` we have to see if the points
`A=(4,-3)` and
`B=(-2,-6)` pass through the graph of the expression.

Then we have to replace the points in the equation.

A=(4,-3)

`x=4, y= -3`

`3x-2y=6\\3.4-2.(-3)=6\\12+6=6\\18\\eq 6`

We can see that the equation is not verified when we replace the point A=(4,-3) in the expression. This means that the graph of
`3x-2y=6` doesn't pass through the point A.

B=(-2,-6)

`x=-2,y=-6`

`3x-2y=6\\3.(-2)-2.(-6)=6\\-6+12=6\\6=6`

We can see that the equation is verified when we replace the point B=(-2,-6) in the expression. This means that the graph of
`3x-2y=6` pass through the point B.

We can see the graph of the function: