Find the Equation Using Slope-Intercept Form m=4 , (-6,0)

$m = 4$ , $(- 6, 0)$

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.

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

Substitute the value of $x$ into the equation.

$y = (4) \cdot (- 6) + b$

Substitute the value of $y$ into the equation.

$0 = (4) \cdot (- 6) + b$

Find the value of $b$ .

Rewrite the equation as $(4) \cdot (- 6) + b = 0$ .

$(4) \cdot (- 6) + b = 0$

Multiply $4$ by $- 6$ .

$- 24 + b = 0$

Add $24$ to both sides of the equation.

$b = 24$

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.

$y = 4 x + 24$

Step 3