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Examples

7

$7$ ,

(- 2, - 9)

$(- 2, - 9)$

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 = (7) \cdot x + b

$y = (7) \cdot x + b$

Step 1.3

Substitute the value of

x

$x$ into the equation.

y = (7) \cdot (- 2) + b

$y = (7) \cdot (- 2) + b$

Step 1.4

Substitute the value of

y

$y$ into the equation.

- 9 = (7) \cdot (- 2) + b

$- 9 = (7) \cdot (- 2) + b$

Step 1.5

Find the value of

b

$b$ .

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Step 1.5.1

Rewrite the equation as

(7) \cdot (- 2) + b = - 9

$(7) \cdot (- 2) + b = - 9$ .

(7) \cdot (- 2) + b = - 9

$(7) \cdot (- 2) + b = - 9$

Step 1.5.2

Multiply

7

$7$ by

- 2

$- 2$ .

- 14 + b = - 9

$- 14 + b = - 9$

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

14

$14$ to both sides of the equation.

b = - 9 + 14

$b = - 9 + 14$

Step 1.5.3.2

Add

- 9

$- 9$ and

14

$14$ .

b = 5

$b = 5$

b = 5

$b = 5$

b = 5

$b = 5$

b = 5

$b = 5$

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 = 7 x + 5

$y = 7 x + 5$

Step 3

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

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