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

Answer:

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

Step-by-step 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)

$x=4, y= -3$

$3x-2y=6\\3.4-2.(-3)=6\\12+6=6\\18\neq 6$

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: