Graph f(x)=-2x-5 g(x)=x-2

$f (x) = - 2 x - 5$ $g (x) = x - 2$

Step 1

Graph $f (x) = - 2 x - 5$ .

Rewrite the function as an equation.

$y = - 2 x - 5$

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

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 $y = m x + b$ .

$m = - 2$

$b = - 5$

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

Slope: $- 2$

y-intercept: $(0, - 5)$

Slope: $- 2$

y-intercept: $(0, - 5)$

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

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

$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 7 \end{array}$

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

Slope: $- 2$

y-intercept: $(0, - 5)$

$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 7 \end{array}$

Slope: $- 2$

y-intercept: $(0, - 5)$

$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 7 \end{array}$

Step 2

Graph $g (x) = x - 2$ .

Rewrite the function as an equation.

$y = x - 2$

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

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 $y = m x + b$ .

$m = 1$

$b = - 2$

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

Slope: $1$

y-intercept: $(0, - 2)$

Slope: $1$

y-intercept: $(0, - 2)$

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

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

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

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

Slope: $1$

y-intercept: $(0, - 2)$

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

Slope: $1$

y-intercept: $(0, - 2)$

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

Step 3

Plot each graph on the same coordinate system.

$f (x) = - 2 x - 5$

$g (x) = x - 2$

Step 4

Graph f(x)=-2x-5 g(x)=x-2

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