Algebra Examples

$m = 3$ and $(0, - 6)$

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.

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

Step 1.3

Substitute the value of $x$ into the equation.

$y = (3) \cdot (0) + b$

Step 1.4

Substitute the value of $y$ into the equation.

$- 6 = (3) \cdot (0) + b$

Step 1.5

Find the value of $b$ .

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Step 1.5.1

Rewrite the equation as $(3) \cdot (0) + b = - 6$ .

$(3) \cdot (0) + b = - 6$

Step 1.5.2

Simplify $(3) \cdot (0) + b$ .

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Step 1.5.2.1

Multiply $3$ by $0$ .

$0 + b = - 6$

Step 1.5.2.2

Add $0$ and $b$ .

$b = - 6$

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.

$y = 3 x - 6$

Step 3