Graph 3x=9y - MathMaster

$3 x = 9 y$

Solve for $y$ .

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Rewrite the equation as $9 y = 3 x$ .

$9 y = 3 x$

Divide each term by $9$ and simplify.

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Divide each term in $9 y = 3 x$ by $9$ .

$\frac{9 y}{9} = \frac{3 x}{9}$

Cancel the common factor of $9$ .

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Cancel the common factor.

$\frac{9 y}{9} = \frac{3 x}{9}$

Divide $y$ by $1$ .

$y = \frac{3 x}{9}$

Cancel the common factor of $3$ and $9$ .

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Factor $3$ out of $3 x$ .

$y = \frac{3 (x)}{9}$

Cancel the common factors.

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Factor $3$ out of $9$ .

$y = \frac{3 x}{3 \cdot 3}$

Cancel the common factor.

$y = \frac{3 x}{3 \cdot 3}$

Rewrite the expression.

$y = \frac{x}{3}$

Use the slope-intercept form to find the slope and y-intercept.

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The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = \frac{1}{3}$

$b = 0$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $\frac{1}{3}$

y-intercept: $0$

Slope: $\frac{1}{3}$

y-intercept: $0$

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

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Choose $0$ to substitute in for $x$ to find the ordered pair.

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Replace the variable $x$ with $0$ in the expression.

$f (0) = \frac{0}{3}$

Simplify the result.

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Divide $0$ by $3$ .

$f (0) = 0$

The final answer is $0$ .

$0$

The $y$ value at $x = 0$ is $0$ .

$y = 0$

Choose $3$ to substitute in for $x$ to find the ordered pair.

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Replace the variable $x$ with $3$ in the expression.

$f (3) = \frac{3}{3}$

Simplify the result.

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Divide $3$ by $3$ .

$f (3) = 1$

The final answer is $1$ .

$1$

The $y$ value at $x = 3$ is $1$ .

$y = 1$

Create a table of the $x$ and $y$ values.

$\begin{array}{c} x & y \\ 0 & 0 \\ 3 & 1 \end{array}$

Graph the line using the slope and the y-intercept, or the points.

Slope: $\frac{1}{3}$

y-intercept: $0$

$\begin{array}{c} x & y \\ 0 & 0 \\ 3 & 1 \end{array}$

Graph 3x=9y

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