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Algebra Examples

(10, 10)

$(10, 10)$ ,

b = 1

$b = 1$

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 (10) + 1

$y = m (10) + 1$

Step 4

Substitute the value of

y

$y$ into the equation.

10 = m (10) + 1

$10 = m (10) + 1$

Step 5

Find the value of

m

$m$ .

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Step 5.1

Rewrite the equation as

m (10) + 1 = 10

$m (10) + 1 = 10$ .

m (10) + 1 = 10

$m (10) + 1 = 10$

Step 5.2

Move

10

$10$ to the left of

m

$m$ .

10 m + 1 = 10

$10 m + 1 = 10$

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.

10 m = 10 - 1

$10 m = 10 - 1$

Step 5.3.2

Subtract

1

$1$ from

10

$10$ .

10 m = 9

$10 m = 9$

10 m = 9

$10 m = 9$

Step 5.4

Divide each term in

10 m = 9

$10 m = 9$ by

10

$10$ and simplify.

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Step 5.4.1

Divide each term in

10 m = 9

$10 m = 9$ by

10

$10$ .

\frac{10 m}{10} = \frac{9}{10}

$\frac{10 m}{10} = \frac{9}{10}$

Step 5.4.2

Simplify the left side.

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Step 5.4.2.1

Cancel the common factor of

10

$10$ .

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Step 5.4.2.1.1

Cancel the common factor.

$\frac{10 m}{10} = \frac{9}{10}$

Step 5.4.2.1.2

Divide

$m$ by

$1$ .

$m = \frac{9}{10}$

$m = \frac{9}{10}$

$m = \frac{9}{10}$

$m = \frac{9}{10}$

$m = \frac{9}{10}$

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.

$y = \frac{9}{10} x + 1$

Step 7

Enter YOUR Problem

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