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Finite Math Examples

(0, 8)

$(0, 8)$ ,

m = 2

$m = 2$

Step 1

Find the value of

b

$b$ 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

$b$ .

y = m x + b

$y = m x + b$

Step 1.2

Substitute the value of

m

$m$ into the equation.

y = (2) \cdot x + b

$y = (2) \cdot x + b$

Step 1.3

Substitute the value of

x

$x$ into the equation.

y = (2) \cdot (0) + b

$y = (2) \cdot (0) + b$

Step 1.4

Substitute the value of

y

$y$ into the equation.

8 = (2) \cdot (0) + b

$8 = (2) \cdot (0) + b$

Step 1.5

Find the value of

b

$b$ .

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Step 1.5.1

Rewrite the equation as

(2) \cdot (0) + b = 8

$(2) \cdot (0) + b = 8$ .

(2) \cdot (0) + b = 8

$(2) \cdot (0) + b = 8$

Step 1.5.2

Simplify

(2) \cdot (0) + b

$(2) \cdot (0) + b$ .

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Step 1.5.2.1

Multiply

2

$2$ by

0

$0$ .

0 + b = 8

$0 + b = 8$

Step 1.5.2.2

Add

0

$0$ and

b

$b$ .

b = 8

$b = 8$

b = 8

$b = 8$

b = 8

$b = 8$

b = 8

$b = 8$

Step 2

Now that the values of

m

$m$ (slope) and

b

$b$ (y-intercept) are known, substitute them into

y = m x + b

$y = m x + b$ to find the equation of the line.

y = 2 x + 8

$y = 2 x + 8$

Step 3

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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