Calculus Examples

$\frac{y - (- 96)}{x - (- 5)} = 40$

Step 1

Multiply both sides by $x - (- 5)$ .

$\frac{y - (- 96)}{x - (- 5)} (x - (- 5)) = 40 (x - (- 5))$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{y - (- 96)}{x - (- 5)} (x - (- 5))$ .

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Step 2.1.1.1

Cancel the common factor of $x - - 5$ .

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Step 2.1.1.1.1

Multiply by $1$ .

$\frac{y - (- 96)}{(x - (- 5)) \cdot 1} (x - (- 5)) = 40 (x - (- 5))$

Step 2.1.1.1.2

Multiply by $1$ .

$\frac{y - (- 96)}{(x - (- 5)) \cdot 1} ((x - (- 5)) \cdot 1) = 40 (x - (- 5))$

Step 2.1.1.1.3

Rewrite the expression.

$y - (- 96) = 40 (x - (- 5))$

Step 2.1.1.2

Multiply $- 1$ by $- 96$ .

$y + 96 = 40 (x - (- 5))$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $40 (x - (- 5))$ .

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Step 2.2.1.1

Multiply $- 1$ by $- 5$ .

$y + 96 = 40 (x + 5)$

Step 2.2.1.2

Apply the distributive property.

$y + 96 = 40 x + 40 \cdot 5$

Step 2.2.1.3

Multiply $40$ by $5$ .

$y + 96 = 40 x + 200$

Step 3

Move all terms not containing $y$ to the right side of the equation.

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Step 3.1

Subtract $96$ from both sides of the equation.

$y = 40 x + 200 - 96$

Step 3.2

Subtract $96$ from $200$ .

$y = 40 x + 104$