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

$m = - 1$ , $b = 3$

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.

$y = (- 1) \cdot x + b$

Step 3

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

$y = (- 1) \cdot x + 3$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (- 1) \cdot x + 3$

Multiply $- 1$ by $x$ .

$y = - 1 \cdot x + 3$

Remove parentheses.

$y = (- 1) \cdot x + 3$

Rewrite $- 1 x$ as $- x$ .

$y = - x + 3$

Step 5