Algebra Examples

$y = \frac{3}{5} (x - 5) + 2$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Simplify the right side.

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Step 2.1.1

Simplify $\frac{3}{5} (x - 5) + 2$ .

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Step 2.1.1.1

Simplify each term.

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Step 2.1.1.1.1

Apply the distributive property.

$y = \frac{3}{5} x + \frac{3}{5} \cdot - 5 + 2$

Step 2.1.1.1.2

Combine $\frac{3}{5}$ and $x$ .

$y = \frac{3 x}{5} + \frac{3}{5} \cdot - 5 + 2$

Step 2.1.1.1.3

Cancel the common factor of $5$ .

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Step 2.1.1.1.3.1

Factor $5$ out of $- 5$ .

$y = \frac{3 x}{5} + \frac{3}{5} \cdot (5 (- 1)) + 2$

Step 2.1.1.1.3.2

Cancel the common factor.

$y = \frac{3 x}{5} + \frac{3}{5} \cdot (5 \cdot - 1) + 2$

Step 2.1.1.1.3.3

Rewrite the expression.

$y = \frac{3 x}{5} + 3 \cdot - 1 + 2$

Step 2.1.1.1.4

Multiply $3$ by $- 1$ .

$y = \frac{3 x}{5} - 3 + 2$

Step 2.1.1.2

Add $- 3$ and $2$ .

$y = \frac{3 x}{5} - 1$

Step 2.2

Reorder terms.

$y = \frac{3}{5} x - 1$