Find the Equation Using Slope-Intercept Form m=-4/5 , b=1/2

$m = - \frac{4}{5}$ , $b = \frac{1}{2}$

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.

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

Step 3

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

$y = (- \frac{4}{5}) \cdot x + \frac{1}{2}$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (- \frac{4}{5}) \cdot x + \frac{1}{2}$

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

$y = - \frac{4}{5} x + \frac{1}{2}$

Remove parentheses.

$y = (- \frac{4}{5}) \cdot x + \frac{1}{2}$

Simplify each term.

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

$y = - \frac{x \cdot 4}{5} + \frac{1}{2}$

Move $4$ to the left of $x$ .

$y = - \frac{4 x}{5} + \frac{1}{2}$

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

$y = - \frac{4}{5} x + \frac{1}{2}$

Step 5