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Examples

(1, 1)

$(1, 1)$ ,

m = - \frac{1}{2}

$m = - \frac{1}{2}$

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{1}{2}) \cdot x + b

$y = (- \frac{1}{2}) \cdot x + b$

Step 1.3

Substitute the value of

x

$x$ into the equation.

y = (- \frac{1}{2}) \cdot (1) + b

$y = (- \frac{1}{2}) \cdot (1) + b$

Step 1.4

Substitute the value of

y

$y$ into the equation.

1 = (- \frac{1}{2}) \cdot (1) + b

$1 = (- \frac{1}{2}) \cdot (1) + b$

Step 1.5

Find the value of

b

$b$ .

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Step 1.5.1

Rewrite the equation as

- \frac{1}{2} \cdot 1 + b = 1

$- \frac{1}{2} \cdot 1 + b = 1$ .

- \frac{1}{2} \cdot 1 + b = 1

$- \frac{1}{2} \cdot 1 + b = 1$

Step 1.5.2

Multiply

- 1

$- 1$ by

1

$1$ .

- \frac{1}{2} + b = 1

$- \frac{1}{2} + b = 1$

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

Add

\frac{1}{2}

$\frac{1}{2}$ to both sides of the equation.

b = 1 + \frac{1}{2}

$b = 1 + \frac{1}{2}$

Step 1.5.3.2

Write

1

$1$ as a fraction with a common denominator.

b = \frac{2}{2} + \frac{1}{2}

$b = \frac{2}{2} + \frac{1}{2}$

Step 1.5.3.3

Combine the numerators over the common denominator.

b = \frac{2 + 1}{2}

$b = \frac{2 + 1}{2}$

Step 1.5.3.4

Add

2

$2$ and

1

$1$ .

b = \frac{3}{2}

$b = \frac{3}{2}$

b = \frac{3}{2}

$b = \frac{3}{2}$

b = \frac{3}{2}

$b = \frac{3}{2}$

b = \frac{3}{2}

$b = \frac{3}{2}$

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{1}{2} x + \frac{3}{2}

$y = - \frac{1}{2} x + \frac{3}{2}$

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}]

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