Find the Equation Using Point-Slope Formula (-3,-4) , m=3

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

Use the slope $3$ and a given point $(- 3, - 4)$ to substitute for $x_{1}$ and $y_{1}$ in the point-slope form $y - y_{1} = m (x - x_{1})$ , which is derived from the slope equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (- 4) = 3 \cdot (x - (- 3))$

Simplify the equation and keep it in point-slope form.

$y + 4 = 3 \cdot (x + 3)$

Solve for $y$ .

Simplify $3 \cdot (x + 3)$ .

Rewrite.

$y + 4 = 0 + 0 + 3 \cdot (x + 3)$

Simplify by adding zeros.

$y + 4 = 3 \cdot (x + 3)$

Apply the distributive property.

$y + 4 = 3 x + 3 \cdot 3$

Multiply $3$ by $3$ .

$y + 4 = 3 x + 9$

Move all terms not containing $y$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$y = 3 x + 9 - 4$

Subtract $4$ from $9$ .

$y = 3 x + 5$

List the equation in different forms.

Slope-intercept form:

$y = 3 x + 5$

Point-slope form:

$y + 4 = 3 \cdot (x + 3)$

Find the Equation Using Point-Slope Formula (-3,-4) , m=3

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