Pre-Algebra Examples

$(- 2, - 3)$ , $m = 9$

Step 1

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

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Step 1.1

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

$y = m x + b$

Step 1.2

Substitute the value of $m$ into the equation.

$y = (9) \cdot x + b$

Step 1.3

Substitute the value of $x$ into the equation.

$y = (9) \cdot (- 2) + b$

Step 1.4

Substitute the value of $y$ into the equation.

$- 3 = (9) \cdot (- 2) + b$

Step 1.5

Find the value of $b$ .

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Step 1.5.1

Rewrite the equation as $(9) \cdot (- 2) + b = - 3$ .

$(9) \cdot (- 2) + b = - 3$

Step 1.5.2

Multiply $9$ by $- 2$ .

$- 18 + b = - 3$

Step 1.5.3

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

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Step 1.5.3.1

Add $18$ to both sides of the equation.

$b = - 3 + 18$

Step 1.5.3.2

Add $- 3$ and $18$ .

$b = 15$

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.

$y = 9 x + 15$

Step 3

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