Graph x-2y=8 y=-1/2x

$x - 2 y = 8$ $y = - \frac{1}{2} x$

Graph $x - 2 y = 8$ .

Solve for $y$ .

Subtract $x$ from both sides of the equation.

$- 2 y = 8 - x$

Divide each term in $- 2 y = 8 - x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 8 - x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{8}{- 2} + \frac{- x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{8}{- 2} + \frac{- x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{8}{- 2} + \frac{- x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $8$ by $- 2$ .

$y = - 4 + \frac{- x}{- 2}$

Dividing two negative values results in a positive value.

$y = - 4 + \frac{x}{2}$

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 $- 4$ and $\frac{x}{2}$ .

$y = \frac{x}{2} - 4$

Reorder terms.

$y = \frac{1}{2} x - 4$

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

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

$m = \frac{1}{2}$

$b = - 4$

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

Slope: $\frac{1}{2}$

y-intercept: $(0, - 4)$

Slope: $\frac{1}{2}$

y-intercept: $(0, - 4)$

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

Write in $y = m x + b$ form.

Reorder $- 4$ and $\frac{x}{2}$ .

$y = \frac{x}{2} - 4$

Reorder terms.

$y = \frac{1}{2} x - 4$

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

$\begin{array}{c} x & y \\ 0 & - 4 \\ 2 & - 3 \end{array}$

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

Slope: $\frac{1}{2}$

y-intercept: $(0, - 4)$

$\begin{array}{c} x & y \\ 0 & - 4 \\ 2 & - 3 \end{array}$

Slope: $\frac{1}{2}$

y-intercept: $(0, - 4)$

$\begin{array}{c} x & y \\ 0 & - 4 \\ 2 & - 3 \end{array}$

Graph $y = - \frac{1}{2} x$ .

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.

$y = m x + b$

Write in $y = m x + b$ form.

Reorder terms.

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

Remove parentheses.

$y = - \frac{1}{2} x$

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

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

$m = - \frac{1}{2}$

$b = 0$

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

Slope: $- \frac{1}{2}$

y-intercept: $(0, 0)$

Slope: $- \frac{1}{2}$

y-intercept: $(0, 0)$

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

Write in $y = m x + b$ form.

Reorder terms.

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

Remove parentheses.

$y = - \frac{1}{2} x$

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

$\begin{array}{c} x & y \\ 0 & 0 \\ 2 & - 1 \end{array}$

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

Slope: $- \frac{1}{2}$

y-intercept: $(0, 0)$

$\begin{array}{c} x & y \\ 0 & 0 \\ 2 & - 1 \end{array}$

Slope: $- \frac{1}{2}$

y-intercept: $(0, 0)$

$\begin{array}{c} x & y \\ 0 & 0 \\ 2 & - 1 \end{array}$

Plot each graph on the same coordinate system.

$x - 2 y = 8$

$y = - \frac{1}{2} x$

Graph x-2y=8 y=-1/2x

Related Questions

Support LCMGCF.com by disabling your adblocker.