Pre-Algebra Examples

$y - 9 = \frac{2}{3} x + 10$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

Simplify the right side.

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Step 1.2.1

Combine $\frac{2}{3}$ and $x$ .

$y - 9 = \frac{2 x}{3} + 10$

Step 1.3

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

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Step 1.3.1

Add $9$ to both sides of the equation.

$y = \frac{2 x}{3} + 10 + 9$

Step 1.3.2

Add $10$ and $9$ .

$y = \frac{2 x}{3} + 19$

Step 1.4

Reorder terms.

$y = \frac{2}{3} x + 19$

Step 2

Using the slope-intercept form, the y-intercept is $19$ .

$b = 19$

Step 3

y-intercept in point form.

$(0, 19)$

Step 4