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4.) Find the intercepts of each equation and greph
2x+3y=-12

$4$ .) Find the intercepts of each equation and greph $2 x+3 y=-12$

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Describe the graph of a linear equation

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Q.

4

.) Find the intercepts of each equation and greph

2 x+3 y=-12

Find x-intercept: Find the x-intercept. $\newline$ To find the x-intercept, set $y$ to $0$ and solve for $x$ . $\newline$ $2x + 3(0) = -12$ $\newline$ $2x = -12$ $\newline$ $x = -12 / 2$ $\newline$ $x = -6$ $\newline$ The x-intercept is at $(-6, 0)$ .
Find y-intercept: Find the y-intercept. $\newline$ To find the y-intercept, set $x$ to $0$ and solve for $y$ . $\newline$ $2(0) + 3y = -12$ $\newline$ $3y = -12$ $\newline$ $y = -12 / 3$ $\newline$ $y = -4$ $\newline$ The y-intercept is at $(0, -4)$ .
Graph intercepts and line: Graph the intercepts and the line. $\newline$ Plot the x-intercept $(-6, 0)$ and the y-intercept $(0, -4)$ on a coordinate plane. Draw a line through these two points to represent the equation $2x + 3y = -12$ .

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