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Examples

(- 3, 1)

$(- 3, 1)$ ,

8

$8$

Step 1

Find the value of

m

$m$ using the formula for the equation of a line.

y = m x + b

$y = m x + b$

Step 2

Substitute the value of

b

$b$ into the equation.

y = m x + 8

$y = m x + 8$

Step 3

Substitute the value of

x

$x$ into the equation.

y = m (- 3) + 8

$y = m (- 3) + 8$

Step 4

Substitute the value of

y

$y$ into the equation.

1 = m (- 3) + 8

$1 = m (- 3) + 8$

Step 5

Find the value of

m

$m$ .

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Step 5.1

Rewrite the equation as

m (- 3) + 8 = 1

$m (- 3) + 8 = 1$ .

m (- 3) + 8 = 1

$m (- 3) + 8 = 1$

Step 5.2

Move

- 3

$- 3$ to the left of

m

$m$ .

- 3 m + 8 = 1

$- 3 m + 8 = 1$

Step 5.3

Move all terms not containing

m

$m$ to the right side of the equation.

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Step 5.3.1

Subtract

8

$8$ from both sides of the equation.

- 3 m = 1 - 8

$- 3 m = 1 - 8$

Step 5.3.2

Subtract

8

$8$ from

1

$1$ .

- 3 m = - 7

$- 3 m = - 7$

- 3 m = - 7

$- 3 m = - 7$

Step 5.4

Divide each term in

- 3 m = - 7

$- 3 m = - 7$ by

- 3

$- 3$ and simplify.

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Step 5.4.1

Divide each term in

- 3 m = - 7

$- 3 m = - 7$ by

- 3

$- 3$ .

\frac{- 3 m}{- 3} = \frac{- 7}{- 3}

$\frac{- 3 m}{- 3} = \frac{- 7}{- 3}$

Step 5.4.2

Simplify the left side.

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Step 5.4.2.1

Cancel the common factor of

- 3

$- 3$ .

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Step 5.4.2.1.1

Cancel the common factor.

\frac{- 3 m}{- 3} = \frac{- 7}{- 3}

$\frac{- 3 m}{- 3} = \frac{- 7}{- 3}$

Step 5.4.2.1.2

Divide

m

$m$ by

1

$1$ .

m = \frac{- 7}{- 3}

$m = \frac{- 7}{- 3}$

m = \frac{- 7}{- 3}

$m = \frac{- 7}{- 3}$

m = \frac{- 7}{- 3}

$m = \frac{- 7}{- 3}$

Step 5.4.3

Simplify the right side.

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Step 5.4.3.1

Dividing two negative values results in a positive value.

m = \frac{7}{3}

$m = \frac{7}{3}$

m = \frac{7}{3}

$m = \frac{7}{3}$

m = \frac{7}{3}

$m = \frac{7}{3}$

m = \frac{7}{3}

$m = \frac{7}{3}$

Step 6

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{7}{3} x + 8

$y = \frac{7}{3} x + 8$

Step 7

Enter YOUR Problem

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

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