Calculus Examples

$y - 12 = \frac{1}{24} \cdot (x - 144)$

Step 1

Simplify $\frac{1}{24} \cdot (x - 144)$ .

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Step 1.1

Rewrite.

$y - 12 = 0 + 0 + \frac{1}{24} \cdot (x - 144)$

Step 1.2

Simplify by adding zeros.

$y - 12 = \frac{1}{24} \cdot (x - 144)$

Step 1.3

Apply the distributive property.

$y - 12 = \frac{1}{24} x + \frac{1}{24} \cdot - 144$

Step 1.4

Combine $\frac{1}{24}$ and $x$ .

$y - 12 = \frac{x}{24} + \frac{1}{24} \cdot - 144$

Step 1.5

Cancel the common factor of $24$ .

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Step 1.5.1

Factor $24$ out of $- 144$ .

$y - 12 = \frac{x}{24} + \frac{1}{24} \cdot (24 (- 6))$

Step 1.5.2

Cancel the common factor.

$y - 12 = \frac{x}{24} + \frac{1}{24} \cdot (24 \cdot - 6)$

Step 1.5.3

Rewrite the expression.

$y - 12 = \frac{x}{24} - 6$

Step 2

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

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Step 2.1

Add $12$ to both sides of the equation.

$y = \frac{x}{24} - 6 + 12$

Step 2.2

Add $- 6$ and $12$ .

$y = \frac{x}{24} + 6$