Graph x=2/5y

$x = \frac{2}{5} y$

Step 1

Solve for $y$ .

Rewrite the equation as $\frac{2 y}{5} = x$ .

$\frac{2 y}{5} = x$

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} \cdot \frac{2 y}{5} = \frac{5}{2} x$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{2} \cdot \frac{2 y}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 y}{5} = \frac{5}{2} x$

Rewrite the expression.

$\frac{1}{2} (2 y) = \frac{5}{2} x$

Cancel the common factor of $2$ .

Factor $2$ out of $2 y$ .

$\frac{1}{2} (2 (y)) = \frac{5}{2} x$

Cancel the common factor.

$\frac{1}{2} (2 y) = \frac{5}{2} x$

Rewrite the expression.

$y = \frac{5}{2} x$

Simplify the right side.

Combine $\frac{5}{2}$ and $x$ .

$y = \frac{5 x}{2}$

Step 2

Rewrite in slope-intercept form.

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

$y = m x + b$

Reorder terms.

$y = \frac{5}{2} x$

Step 3

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

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

$m = \frac{5}{2}$

$b = 0$

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

Slope: $\frac{5}{2}$

y-intercept: $(0, 0)$

Slope: $\frac{5}{2}$

y-intercept: $(0, 0)$

Step 4

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

Reorder terms.

$y = \frac{5}{2} x$

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

$\begin{array}{c} x & y \\ 0 & 0 \\ 2 & 5 \end{array}$

Step 5

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

Slope: $\frac{5}{2}$

y-intercept: $(0, 0)$

$\begin{array}{c} x & y \\ 0 & 0 \\ 2 & 5 \end{array}$

Step 6

Graph x=2/5y

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