Find the Equation Using Slope-Intercept Form m=-1/3 , b=-2

$m = - \frac{1}{3}$ , $b = - 2$

Step 1

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

$y = m x + b$

Step 2

Replace the known value of $m$ in the slope y-intercept form of the equation.

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

Step 3

Replace the known value of $b$ in the slope y-intercept form of the equation.

$y = (- \frac{1}{3}) \cdot x - 2$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (- \frac{1}{3}) \cdot x - 2$

Multiply $- \frac{1}{3}$ by $x$ .

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

Remove parentheses.

$y = (- \frac{1}{3}) \cdot x - 2$

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

$y = - \frac{x}{3} - 2$

Rewrite the equation in $y = m x + b$ form.

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

Step 5