Find the Equation Using Slope-Intercept Form m=4/5 , b=2

$m = \frac{4}{5}$ , $b = 2$

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.

$y = (\frac{4}{5}) x + b$

Step 3

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

$y = (\frac{4}{5}) x + 2$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (\frac{4}{5}) x + 2$

Multiply $\frac{4}{5}$ by $x$ .

$y = \frac{4}{5} x + 2$

Remove parentheses.

$y = (\frac{4}{5}) x + 2$

Combine $\frac{4}{5}$ and $x$ .

$y = \frac{4 x}{5} + 2$

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

$y = \frac{4}{5} x + 2$

Step 5