Examples

$m = \frac{1}{2}$ , $(0, 9)$

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.

$y = (\frac{1}{2}) x + b$

Step 1.3

Substitute the value of $x$ into the equation.

$y = (\frac{1}{2}) \cdot (0) + b$

Step 1.4

Substitute the value of $y$ into the equation.

$9 = (\frac{1}{2}) \cdot (0) + b$

Step 1.5

Find the value of $b$ .

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Step 1.5.1

Rewrite the equation as $\frac{1}{2} \cdot 0 + b = 9$ .

$\frac{1}{2} \cdot 0 + b = 9$

Step 1.5.2

Simplify $\frac{1}{2} \cdot 0 + b$ .

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Step 1.5.2.1

Multiply $\frac{1}{2}$ by $0$ .

$0 + b = 9$

Step 1.5.2.2

Add $0$ and $b$ .

$b = 9$

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.

$y = \frac{1}{2} x + 9$

Step 3

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