Find the Equation Using Slope-Intercept Form m=-4 , b=5/3

$m = - 4$ , $b = \frac{5}{3}$

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.

$y = (- 4) \cdot x + b$

Step 3

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

$y = (- 4) \cdot x + \frac{5}{3}$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (- 4) \cdot x + \frac{5}{3}$

Multiply $- 4$ by $x$ .

$y = - 4 \cdot x + \frac{5}{3}$

Remove parentheses.

$y = (- 4) \cdot x + \frac{5}{3}$

Multiply $- 4$ by $x$ .

$y = - 4 x + \frac{5}{3}$

Step 5