Find the Equation Using Slope-Intercept Form m=3 (-4,0)

$m = 3$ $(- 4, 0)$

Step 1

Find the value of $b$ using the formula for the equation of a line.

Use the formula for the equation of a line to find $b$ .

$y = m x + b$

Substitute the value of $m$ into the equation.

$y = (3) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (3) \cdot (- 4) + b$

Substitute the value of $y$ into the equation.

$0 = (3) \cdot (- 4) + b$

Find the value of $b$ .

Rewrite the equation as $(3) \cdot (- 4) + b = 0$ .

$(3) \cdot (- 4) + b = 0$

Multiply $3$ by $- 4$ .

$- 12 + b = 0$

Add $12$ to both sides of the equation.

$b = 12$

Step 2

Now that the values of $m$ (slope) and $b$ (y-intercept) are known, substitute them into $y = m x + b$ to find the equation of the line.

$y = 3 x + 12$

Step 3