Calculus Examples

$y - 4 = - \frac{2}{5} \cdot (x + 5)$

Step 1

Simplify $- \frac{2}{5} \cdot (x + 5)$ .

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Step 1.1

Rewrite.

$y - 4 = 0 + 0 - \frac{2}{5} \cdot (x + 5)$

Step 1.2

Simplify terms.

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Step 1.2.1

Apply the distributive property.

$y - 4 = - \frac{2}{5} x - \frac{2}{5} \cdot 5$

Step 1.2.2

Combine $x$ and $\frac{2}{5}$ .

$y - 4 = - \frac{x \cdot 2}{5} - \frac{2}{5} \cdot 5$

Step 1.2.3

Cancel the common factor of $5$ .

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Step 1.2.3.1

Move the leading negative in $- \frac{2}{5}$ into the numerator.

$y - 4 = - \frac{x \cdot 2}{5} + \frac{- 2}{5} \cdot 5$

Step 1.2.3.2

Cancel the common factor.

$y - 4 = - \frac{x \cdot 2}{5} + \frac{- 2}{5} \cdot 5$

Step 1.2.3.3

Rewrite the expression.

$y - 4 = - \frac{x \cdot 2}{5} - 2$

Step 1.3

Move $2$ to the left of $x$ .

$y - 4 = - \frac{2 x}{5} - 2$

Step 2

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

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Step 2.1

Add $4$ to both sides of the equation.

$y = - \frac{2 x}{5} - 2 + 4$

Step 2.2

Add $- 2$ and $4$ .

$y = - \frac{2 x}{5} + 2$