Find the Equation Using Slope-Intercept Form m=3/5 , b=1/3

$m = \frac{3}{5}$ , $b = \frac{1}{3}$

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.

$y = (\frac{3}{5}) x + b$

Step 3

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

$y = (\frac{3}{5}) x + \frac{1}{3}$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (\frac{3}{5}) x + \frac{1}{3}$

Multiply $\frac{3}{5}$ by $x$ .

$y = \frac{3}{5} x + \frac{1}{3}$

Remove parentheses.

$y = (\frac{3}{5}) x + \frac{1}{3}$

Combine $\frac{3}{5}$ and $x$ .

$y = \frac{3 x}{5} + \frac{1}{3}$

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

$y = \frac{3}{5} x + \frac{1}{3}$

Step 5