Find the Equation with a Point and Slope -4/9 , (0,-1/3)

$\frac{- 4}{9}$ , $(0, \frac{- 1}{3})$

Step 1

Move the negative in front of the fraction.

$m = - \frac{4}{9}$

Step 2

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.

$y = (- \frac{4}{9}) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (- \frac{4}{9}) \cdot (0) + b$

Substitute the value of $y$ into the equation.

$\frac{- 1}{3} = (- \frac{4}{9}) \cdot (0) + b$

Find the value of $b$ .

Rewrite the equation as $- \frac{4}{9} \cdot 0 + b = \frac{- 1}{3}$ .

$- \frac{4}{9} \cdot 0 + b = \frac{- 1}{3}$

Simplify $- \frac{4}{9} \cdot 0 + b$ .

Multiply $- \frac{4}{9} \cdot 0$ .

Multiply $0$ by $- 1$ .

$0 (\frac{4}{9}) + b = \frac{- 1}{3}$

Multiply $0$ by $\frac{4}{9}$ .

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

Add $0$ and $b$ .

$b = \frac{- 1}{3}$

Move the negative in front of the fraction.

$b = - \frac{1}{3}$

Step 3

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.

$y = - \frac{4}{9} x - \frac{1}{3}$

Step 4