Finite Math Examples

$(0, 5)$ , $m = - \frac{5}{6}$

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.

$y = (- \frac{5}{6}) \cdot x + b$

Step 1.3

Substitute the value of $x$ into the equation.

$y = (- \frac{5}{6}) \cdot (0) + b$

Step 1.4

Substitute the value of $y$ into the equation.

$5 = (- \frac{5}{6}) \cdot (0) + b$

Step 1.5

Find the value of $b$ .

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Step 1.5.1

Rewrite the equation as $- \frac{5}{6} \cdot 0 + b = 5$ .

$- \frac{5}{6} \cdot 0 + b = 5$

Step 1.5.2

Simplify $- \frac{5}{6} \cdot 0 + b$ .

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Step 1.5.2.1

Multiply $- \frac{5}{6} \cdot 0$ .

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Step 1.5.2.1.1

Multiply $0$ by $- 1$ .

$0 (\frac{5}{6}) + b = 5$

Step 1.5.2.1.2

Multiply $0$ by $\frac{5}{6}$ .

$0 + b = 5$

Step 1.5.2.2

Add $0$ and $b$ .

$b = 5$

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.

$y = - \frac{5}{6} x + 5$

Step 3