Graph y-x=3 - Math online

$y - x = 3$

Add $x$ to both sides of the equation.

$y = 3 + x$

Rewrite in slope-intercept form.

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

$y = m x + b$

Reorder $3$ and $x$ .

$y = x + 3$

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

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

$m = 1$

$b = 3$

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

Slope: $1$

y-intercept: $(0, 3)$

Slope: $1$

y-intercept: $(0, 3)$

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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Find the x-intercept.

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To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = 3 + x$

Solve the equation.

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Rewrite the equation as $3 + x = 0$ .

$3 + x = 0$

Subtract $3$ from both sides of the equation.

$x = - 3$

x-intercept(s) in point form.

x-intercept(s): $(- 3, 0)$

Find the y-intercept.

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To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = 3 + 0$

Solve the equation.

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Remove parentheses.

$y = 3 + 0$

Add $3$ and $0$ .

$y = 3$

y-intercept(s) in point form.

y-intercept(s): $(0, 3)$

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

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

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

Slope: $1$

y-intercept: $(0, 3)$

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

Graph y-x=3

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