Find the Equation Using Slope-Intercept Form m=-1/8 , (-3,0)

$m = - \frac{1}{8}$ , $(- 3, 0)$

Find the value of $b$ using the formula for the equation of a line.

Use the formula for the equation of a line to find $b$ .

$y = m x + b$

Substitute the value of $m$ into the equation.

$y = (- \frac{1}{8}) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (- \frac{1}{8}) \cdot (- 3) + b$

Substitute the value of $y$ into the equation.

$0 = (- \frac{1}{8}) \cdot (- 3) + b$

Find the value of $b$ .

Rewrite the equation as $- \frac{1}{8} \cdot - 3 + b = 0$ .

$- \frac{1}{8} \cdot - 3 + b = 0$

Multiply $- \frac{1}{8} \cdot - 3$ .

Multiply $- 3$ by $- 1$ .

$3 (\frac{1}{8}) + b = 0$

Combine $3$ and $\frac{1}{8}$ .

$\frac{3}{8} + b = 0$

Subtract $\frac{3}{8}$ from both sides of the equation.

$b = - \frac{3}{8}$

Now that the values of $m$ (slope) and $b$ (y-intercept) are known, substitute them into $y = m x + b$ to find the equation of the line.

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