Algebra Examples

$- 2$ , $(0, 8)$

Step 1

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.

$y = (- 2) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (- 2) \cdot (0) + b$

Substitute the value of $y$ into the equation.

$8 = (- 2) \cdot (0) + b$

Find the value of $b$ .

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Rewrite the equation as $(- 2) \cdot (0) + b = 8$ .

$(- 2) \cdot (0) + b = 8$

Simplify $(- 2) \cdot (0) + b$ .

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Multiply $- 2$ by $0$ .

$0 + b = 8$

Add $0$ and $b$ .

$b = 8$

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.

$y = - 2 x + 8$

Step 3