Graph y=1/2g(x)

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

Step 1

Solve for $y$ .

Multiply $g$ by $x$ .

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

Remove parentheses.

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

Remove parentheses.

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

Multiply $\frac{1}{2} (g x)$ .

Combine $g$ and $\frac{1}{2}$ .

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

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

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

Step 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 $y = m x + b$ .

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

$b = 0$

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: $(0, 0)$

Step 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.

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

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

Step 4

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

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

y-intercept: $(0, 0)$

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

Step 5