Finite Math Examples

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

Step 1

Multiply $- 1$ by $- 4$ .

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

Step 2

Simplify $\frac{5}{2} \cdot (x - 4)$ .

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Step 2.1

Apply the distributive property.

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

Step 2.2

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

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

Step 2.3

Cancel the common factor of $2$ .

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Step 2.3.1

Factor $2$ out of $- 4$ .

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

Step 2.3.2

Cancel the common factor.

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

Step 2.3.3

Rewrite the expression.

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

Step 2.4

Multiply $5$ by $- 2$ .

$y + 4 = \frac{5 x}{2} - 10$

Step 3

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

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Step 3.1

Subtract $4$ from both sides of the equation.

$y = \frac{5 x}{2} - 10 - 4$

Step 3.2

Subtract $4$ from $- 10$ .

$y = \frac{5 x}{2} - 14$