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

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

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.

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

Step 3

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

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

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

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

Multiply $\frac{2}{3}$ by $x$ .

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

Remove parentheses.

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

Combine $\frac{2}{3}$ and $x$ .

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

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

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

Step 5