Graph -1/2x+1/8y=3/4

$- \frac{1}{2} x + \frac{1}{8} y = \frac{3}{4}$

Solve for $y$ .

Add $\frac{x}{2}$ to both sides of the equation.

$\frac{y}{8} = \frac{3}{4} + \frac{x}{2}$

Multiply both sides of the equation by $8$ .

$8 \frac{y}{8} = 8 (\frac{3}{4} + \frac{x}{2})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$8 \frac{y}{8} = 8 (\frac{3}{4} + \frac{x}{2})$

Rewrite the expression.

$y = 8 (\frac{3}{4} + \frac{x}{2})$

Simplify the right side.

Simplify $8 (\frac{3}{4} + \frac{x}{2})$ .

Apply the distributive property.

$y = 8 (\frac{3}{4}) + 8 \frac{x}{2}$

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$y = 4 (2) \frac{3}{4} + 8 \frac{x}{2}$

Cancel the common factor.

$y = 4 \cdot 2 \frac{3}{4} + 8 \frac{x}{2}$

Rewrite the expression.

$y = 2 \cdot 3 + 8 \frac{x}{2}$

Multiply $2$ by $3$ .

$y = 6 + 8 \frac{x}{2}$

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$y = 6 + 2 (4) \frac{x}{2}$

Cancel the common factor.

$y = 6 + 2 \cdot 4 \frac{x}{2}$

Rewrite the expression.

$y = 6 + 4 x$

Reorder $6$ and $4 x$ .

$y = 4 x + 6$

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 $y = m x + b$ .

$m = 4$

$b = 6$

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

Slope: $4$

y-intercept: $(0, 6)$

Slope: $4$

y-intercept: $(0, 6)$

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.

$\begin{array}{c} x & y \\ 0 & 6 \\ 1 & 10 \end{array}$

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

Slope: $4$

y-intercept: $(0, 6)$

$\begin{array}{c} x & y \\ 0 & 6 \\ 1 & 10 \end{array}$

Graph -1/2x+1/8y=3/4

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