Algebra Examples

$y = - 6 x$ $y = - 7 x - 1$

Step 1

Graph $y = - 6 x$ .

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Step 1.1

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

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Step 1.1.1

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

$y = m x + b$

Step 1.1.2

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

$m = - 6$

$b = 0$

Step 1.1.3

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

Slope: $- 6$

y-intercept: $(0, 0)$

Slope: $- 6$

y-intercept: $(0, 0)$

Step 1.2

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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Step 1.2.1

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

$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & - 6 \end{array}$

Step 1.3

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

Slope: $- 6$

y-intercept: $(0, 0)$

$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & - 6 \end{array}$

Slope: $- 6$

y-intercept: $(0, 0)$

$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & - 6 \end{array}$

Step 2

Graph $y = - 7 x - 1$ .

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Step 2.1

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

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Step 2.1.1

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

$y = m x + b$

Step 2.1.2

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

$m = - 7$

$b = - 1$

Step 2.1.3

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

Slope: $- 7$

y-intercept: $(0, - 1)$

Slope: $- 7$

y-intercept: $(0, - 1)$

Step 2.2

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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Step 2.2.1

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

$\begin{array}{c} x & y \\ 0 & - 1 \\ 1 & - 8 \end{array}$

Step 2.3

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

Slope: $- 7$

y-intercept: $(0, - 1)$

$\begin{array}{c} x & y \\ 0 & - 1 \\ 1 & - 8 \end{array}$

Slope: $- 7$

y-intercept: $(0, - 1)$

$\begin{array}{c} x & y \\ 0 & - 1 \\ 1 & - 8 \end{array}$

Step 3

Plot each graph on the same coordinate system.

$y = - 6 x$

$y = - 7 x - 1$

Step 4