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Examples

5

$5$ ,

(1, 1)

$(1, 1)$

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 = (5) \cdot x + b

$y = (5) \cdot x + b$

Step 1.3

Substitute the value of

x

$x$ into the equation.

y = (5) \cdot (1) + b

$y = (5) \cdot (1) + b$

Step 1.4

Substitute the value of

y

$y$ into the equation.

1 = (5) \cdot (1) + b

$1 = (5) \cdot (1) + b$

Step 1.5

Find the value of

b

$b$ .

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Step 1.5.1

Rewrite the equation as

(5) \cdot (1) + b = 1

$(5) \cdot (1) + b = 1$ .

(5) \cdot (1) + b = 1

$(5) \cdot (1) + b = 1$

Step 1.5.2

Multiply

5

$5$ by

1

$1$ .

5 + b = 1

$5 + b = 1$

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

Subtract

5

$5$ from both sides of the equation.

b = 1 - 5

$b = 1 - 5$

Step 1.5.3.2

Subtract

5

$5$ from

1

$1$ .

b = - 4

$b = - 4$

b = - 4

$b = - 4$

b = - 4

$b = - 4$

b = - 4

$b = - 4$

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 = 5 x - 4

$y = 5 x - 4$

Step 3

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

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