Finite Math Examples

$m = 6$ , $(4, 9)$

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.

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

Step 1.3

Substitute the value of $x$ into the equation.

$y = (6) \cdot (4) + b$

Step 1.4

Substitute the value of $y$ into the equation.

$9 = (6) \cdot (4) + b$

Step 1.5

Find the value of $b$ .

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Step 1.5.1

Rewrite the equation as $(6) \cdot (4) + b = 9$ .

$(6) \cdot (4) + b = 9$

Step 1.5.2

Multiply $6$ by $4$ .

$24 + b = 9$

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

Subtract $24$ from both sides of the equation.

$b = 9 - 24$

Step 1.5.3.2

Subtract $24$ from $9$ .

$b = - 15$

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.

$y = 6 x - 15$

Step 3