Finite Math Examples

$(6, 0)$ , $m = 5$

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.

$y = (5) \cdot x + b$

Step 1.3

Substitute the value of $x$ into the equation.

$y = (5) \cdot (6) + b$

Step 1.4

Substitute the value of $y$ into the equation.

$0 = (5) \cdot (6) + b$

Step 1.5

Find the value of $b$ .

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Step 1.5.1

Rewrite the equation as $(5) \cdot (6) + b = 0$ .

$(5) \cdot (6) + b = 0$

Step 1.5.2

Multiply $5$ by $6$ .

$30 + b = 0$

Step 1.5.3

Subtract $30$ from both sides of the equation.

$b = - 30$

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.

$y = 5 x - 30$

Step 3