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Examples

(7, - 1)

$(7, - 1)$ ,

1

$1$

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 + 1

$y = m x + 1$

Step 3

Substitute the value of

x

$x$ into the equation.

y = m (7) + 1

$y = m (7) + 1$

Step 4

Substitute the value of

y

$y$ into the equation.

- 1 = m (7) + 1

$- 1 = m (7) + 1$

Step 5

Find the value of

m

$m$ .

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Step 5.1

Rewrite the equation as

m (7) + 1 = - 1

$m (7) + 1 = - 1$ .

m (7) + 1 = - 1

$m (7) + 1 = - 1$

Step 5.2

Move

7

$7$ to the left of

m

$m$ .

7 m + 1 = - 1

$7 m + 1 = - 1$

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

1

$1$ from both sides of the equation.

7 m = - 1 - 1

$7 m = - 1 - 1$

Step 5.3.2

Subtract

1

$1$ from

- 1

$- 1$ .

7 m = - 2

$7 m = - 2$

7 m = - 2

$7 m = - 2$

Step 5.4

Divide each term in

7 m = - 2

$7 m = - 2$ by

7

$7$ and simplify.

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Step 5.4.1

Divide each term in

7 m = - 2

$7 m = - 2$ by

7

$7$ .

\frac{7 m}{7} = \frac{- 2}{7}

$\frac{7 m}{7} = \frac{- 2}{7}$

Step 5.4.2

Simplify the left side.

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Step 5.4.2.1

Cancel the common factor of

7

$7$ .

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Step 5.4.2.1.1

Cancel the common factor.

$\frac{7 m}{7} = \frac{- 2}{7}$

Step 5.4.2.1.2

Divide

$m$ by

$1$ .

$m = \frac{- 2}{7}$

$m = \frac{- 2}{7}$

$m = \frac{- 2}{7}$

Step 5.4.3

Simplify the right side.

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Step 5.4.3.1

Move the negative in front of the fraction.

$m = - \frac{2}{7}$

$m = - \frac{2}{7}$

$m = - \frac{2}{7}$

$m = - \frac{2}{7}$

Step 6

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.

$y = - \frac{2}{7} x + 1$

Step 7

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