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Finite Math Examples

$(- 2, - 3)$ ,

$m = 9$

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.

$y = (9) \cdot x + b$

Step 1.3

Substitute the value of

$x$ into the equation.

$y = (9) \cdot (- 2) + b$

Step 1.4

Substitute the value of

$y$ into the equation.

$- 3 = (9) \cdot (- 2) + b$

Step 1.5

Find the value of

$b$ .

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Step 1.5.1

Rewrite the equation as

$(9) \cdot (- 2) + b = - 3$ .

$(9) \cdot (- 2) + b = - 3$

Step 1.5.2

Multiply

$9$ by

$- 2$ .

$- 18 + b = - 3$

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

Add

$18$ to both sides of the equation.

$b = - 3 + 18$

Step 1.5.3.2

Add

$- 3$ and

$18$ .

$b = 15$

$b = 15$

$b = 15$

$b = 15$

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.

$y = 9 x + 15$

Step 3

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$