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Pre-Algebra Examples

(- 6, 6)

$(- 6, 6)$ ,

m = \frac{12}{5}

$m = \frac{12}{5}$

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 = (\frac{12}{5}) x + b

$y = (\frac{12}{5}) x + b$

Step 1.3

Substitute the value of

x

$x$ into the equation.

y = (\frac{12}{5}) \cdot (- 6) + b

$y = (\frac{12}{5}) \cdot (- 6) + b$

Step 1.4

Substitute the value of

y

$y$ into the equation.

6 = (\frac{12}{5}) \cdot (- 6) + b

$6 = (\frac{12}{5}) \cdot (- 6) + b$

Step 1.5

Find the value of

b

$b$ .

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Step 1.5.1

Rewrite the equation as

\frac{12}{5} \cdot - 6 + b = 6

$\frac{12}{5} \cdot - 6 + b = 6$ .

\frac{12}{5} \cdot - 6 + b = 6

$\frac{12}{5} \cdot - 6 + b = 6$

Step 1.5.2

Simplify each term.

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Step 1.5.2.1

Multiply

\frac{12}{5} \cdot - 6

$\frac{12}{5} \cdot - 6$ .

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Step 1.5.2.1.1

Combine

\frac{12}{5}

$\frac{12}{5}$ and

- 6

$- 6$ .

\frac{12 \cdot - 6}{5} + b = 6

$\frac{12 \cdot - 6}{5} + b = 6$

Step 1.5.2.1.2

Multiply

12

$12$ by

- 6

$- 6$ .

\frac{- 72}{5} + b = 6

$\frac{- 72}{5} + b = 6$

\frac{- 72}{5} + b = 6

$\frac{- 72}{5} + b = 6$

Step 1.5.2.2

Move the negative in front of the fraction.

- \frac{72}{5} + b = 6

$- \frac{72}{5} + b = 6$

- \frac{72}{5} + b = 6

$- \frac{72}{5} + b = 6$

Step 1.5.3

Move all terms not containing

b

$b$ to the right side of the equation.

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Step 1.5.3.1

Add

\frac{72}{5}

$\frac{72}{5}$ to both sides of the equation.

b = 6 + \frac{72}{5}

$b = 6 + \frac{72}{5}$

Step 1.5.3.2

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

b = 6 \cdot \frac{5}{5} + \frac{72}{5}

$b = 6 \cdot \frac{5}{5} + \frac{72}{5}$

Step 1.5.3.3

Combine

6

$6$ and

\frac{5}{5}

$\frac{5}{5}$ .

b = \frac{6 \cdot 5}{5} + \frac{72}{5}

$b = \frac{6 \cdot 5}{5} + \frac{72}{5}$

Step 1.5.3.4

Combine the numerators over the common denominator.

b = \frac{6 \cdot 5 + 72}{5}

$b = \frac{6 \cdot 5 + 72}{5}$

Step 1.5.3.5

Simplify the numerator.

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Step 1.5.3.5.1

Multiply

6

$6$ by

5

$5$ .

b = \frac{30 + 72}{5}

$b = \frac{30 + 72}{5}$

Step 1.5.3.5.2

Add

30

$30$ and

72

$72$ .

b = \frac{102}{5}

$b = \frac{102}{5}$

b = \frac{102}{5}

$b = \frac{102}{5}$

b = \frac{102}{5}

$b = \frac{102}{5}$

b = \frac{102}{5}

$b = \frac{102}{5}$

b = \frac{102}{5}

$b = \frac{102}{5}$

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 = \frac{12}{5} x + \frac{102}{5}

$y = \frac{12}{5} x + \frac{102}{5}$

Step 3

Enter YOUR Problem

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

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