Write in Slope-Intercept Form (2,-4) , slope=-3

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Algebra

$(2, - 4)$ , $s l o p e = - 3$

Divide each term in $s l o p e = - 3$ by $l o p e$ and simplify.

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Divide each term in $s l o p e = - 3$ by $l o p e$ .

$\frac{s l o p e}{l o p e} = \frac{- 3}{l o p e}$

Simplify the left side.

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Cancel the common factor of $l$ .

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Cancel the common factor.

$\frac{s l o p e}{l o p e} = \frac{- 3}{l o p e}$

Rewrite the expression.

$\frac{s o p e}{o p e} = \frac{- 3}{l o p e}$

Cancel the common factor of $o$ .

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Cancel the common factor.

$\frac{s o p e}{o p e} = \frac{- 3}{l o p e}$

Rewrite the expression.

$\frac{s p e}{p e} = \frac{- 3}{l o p e}$

Cancel the common factor of $p$ .

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Cancel the common factor.

$\frac{s p e}{p e} = \frac{- 3}{l o p e}$

Rewrite the expression.

$\frac{s e}{e} = \frac{- 3}{l o p e}$

Cancel the common factor of $e$ .

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Cancel the common factor.

$\frac{s e}{e} = \frac{- 3}{l o p e}$

Divide $s$ by $1$ .

$s = \frac{- 3}{l o p e}$

Simplify the right side.

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Move the negative in front of the fraction.

$s = - \frac{3}{l o p e}$

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

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

$y = m x + b$

Substitute the value of $m$ into the equation.

$y = (- \frac{3}{l o p e}) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (- \frac{3}{l o p e}) \cdot (2) + b$

Substitute the value of $y$ into the equation.

$- 4 = (- \frac{3}{l o p e}) \cdot (2) + b$

Find the value of $b$ .

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Rewrite the equation as $- \frac{3}{l o p e} \cdot 2 + b = - 4$ .

$- \frac{3}{l o p e} \cdot 2 + b = - 4$

Simplify each term.

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Multiply $- \frac{3}{l o p e} \cdot 2$ .

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Multiply $2$ by $- 1$ .

$- 2 \frac{3}{l o p e} + b = - 4$

Combine $- 2$ and $\frac{3}{l o p e}$ .

$\frac{- 2 \cdot 3}{l o p e} + b = - 4$

Multiply $- 2$ by $3$ .

$\frac{- 6}{l o p e} + b = - 4$

Move the negative in front of the fraction.

$- \frac{6}{l o p e} + b = - 4$

Add $\frac{6}{l o p e}$ to both sides of the equation.

$b = - 4 + \frac{6}{l o p e}$

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.

$y = - \frac{3 x}{l o p e} - 4 + \frac{6}{l o p e}$

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