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

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

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.

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

Substitute the value of $x$ into the equation.

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

Substitute the value of $y$ into the equation.

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

Find the value of $b$ .

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

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

Multiply $4$ by $- 4$ .

$- 16 + b = 0$

Add $16$ to both sides of the equation.

$b = 16$

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.

$y = 4 x + 16$

Step 3