Graph y+6=3/4(x+4)

$y + 6 = \frac{3}{4} (x + 4)$

Step 1

Move all terms not containing $y$ to the right side of the equation.

Subtract $6$ from both sides of the equation.

$y = \frac{3 x}{4} + 3 - 6$

Subtract $6$ from $3$ .

$y = \frac{3 x}{4} - 3$

Step 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 terms.

$y = \frac{3}{4} x - 3$

Step 3

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

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

$m = \frac{3}{4}$

$b = - 3$

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

Slope: $\frac{3}{4}$

y-intercept: $(0, - 3)$

Slope: $\frac{3}{4}$

y-intercept: $(0, - 3)$

Step 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.

Reorder terms.

$y = \frac{3}{4} x - 3$

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

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

Step 5

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

Slope: $\frac{3}{4}$

y-intercept: $(0, - 3)$

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

Step 6