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$9x+3y=-27$

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Describe the graph of a linear equation

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Q.

9x+3y=-27

Identify Type of Equation: Identify the type of the equation. $9x + 3y = -27$ is a linear equation in two variables.
Rewrite in Slope-Intercept Form: Rewrite the equation in slope-intercept form $y = mx + b$ . $\newline$ Divide the entire equation by $3$ to isolate $y$ . $\newline$ $y = -3x - 9$
Determine Slope and Y-Intercept: Determine the slope and y-intercept from the equation $y = -3x - 9$ . The slope $(m)$ is $-3$ and the y-intercept $(b)$ is $-9$ .
Plot Y-Intercept: Plot the y-intercept on the graph. $\newline$ The y-intercept is the point $(0, -9)$ .
Use Slope to Find Point: Use the slope to find another point. $\newline$ From $(0, -9)$ , go down $3$ units and right $1$ unit to plot the second point.
Draw Line Through Points: Draw a line through the two points. $\newline$ This line represents all solutions to the equation $9x + 3y = -27$ .

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