$36$ . Which statements are true about the line shown on the graph? $\newline$ Select two answer choices. $\newline$ (a) The point $(-4,0)$ is on the line. $\newline$ (B) The point $(0,-4)$ is on the line. $\newline$ (c) The point $(36,28)$ is on the line. $\newline$ () The graph represents the equation $2 x-3 y=-12$ . $\newline$ () The graph represents the equation $2 x+3 y=-12$ .

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36

. Which statements are true about the line shown on the graph?

\newline

Select two answer choices.

\newline

(a) The point

(-4,0)

is on the line.

\newline

(B) The point

(0,-4)

is on the line.

\newline

(36,28)

is on the line.

\newline

() The graph represents the equation

2 x-3 y=-12

\newline

() The graph represents the equation

2 x+3 y=-12

Check Point $(-4,0)$ : Check if the point $(-4,0)$ is on the line by substituting $x = -4$ and $y = 0$ into the equations given. For the equation $2x + 3y = -12$ : $2(-4) + 3(0) = -8$ , which does not equal $-12$ .
Check Point $0,-4$ : Check the same point $\left(-4,0\right)$ with the equation $2x - 3y = -12$ : $2(-4) - 3(0) = -8$ , which also does not equal \-12.
Check Point $(36,28)$ : Check if the point $(0,-4)$ is on the line by substituting $x = 0$ and $y = -4$ into the equations. For the equation $2x + 3y = -12$ : $2(0) + 3(-4) = -12$ , which equals $-12$ .
Verify Graph Equation: Check the same point $(0,-4)$ with the equation $2x - 3y = -12$ : $2(0) - 3(-4) = 12$ , which does not equal $-12$ .
Verify Graph Equation: Check the same point $(0,-4)$ with the equation $2x - 3y = -12$ : $2(0) - 3(-4) = 12$ , which does not equal $-12$ . Check if the point $(36,28)$ is on the line by substituting $x = 36$ and $y = 28$ into the equations. For the equation $2x + 3y = -12$ : $2(36) + 3(28) = 72 + 84 = 156$ , which does not equal $-12$ .
Verify Graph Equation: Check the same point $(0,-4)$ with the equation $2x - 3y = -12$ : $2(0) - 3(-4) = 12$ , which does not equal $-12$ . Check if the point $(36,28)$ is on the line by substituting $x = 36$ and $y = 28$ into the equations. For the equation $2x + 3y = -12$ : $2(36) + 3(28) = 72 + 84 = 156$ , which does not equal $-12$ . Check the same point $(36,28)$ with the equation $2x - 3y = -12$ : $2x - 3y = -12$ $2$ , which equals $-12$ .
Verify Graph Equation: Check the same point $(0,-4)$ with the equation $2x - 3y = -12$ : $2(0) - 3(-4) = 12$ , which does not equal $-12$ . Check if the point $(36,28)$ is on the line by substituting $x = 36$ and $y = 28$ into the equations. For the equation $2x + 3y = -12$ : $2(36) + 3(28) = 72 + 84 = 156$ , which does not equal $-12$ . Check the same point $(36,28)$ with the equation $2x - 3y = -12$ : $2x - 3y = -12$ $2$ , which equals $-12$ . Verify the graph's equation. Since the point $(0,-4)$ satisfies $2x + 3y = -12$ and the point $(36,28)$ satisfies $2x - 3y = -12$ , the graph could represent either equation depending on the points plotted. Need more points to confirm.