Pre-Algebra Examples

$\frac{x}{29} + \frac{y}{24} = 1$

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

Subtract $\frac{x}{29}$ from both sides of the equation.

$\frac{y}{24} = 1 - \frac{x}{29}$

Step 1.3

Multiply both sides of the equation by $24$ .

$24 \frac{y}{24} = 24 (1 - \frac{x}{29})$

Step 1.4

Simplify both sides of the equation.

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Step 1.4.1

Simplify the left side.

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Step 1.4.1.1

Cancel the common factor of $24$ .

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Step 1.4.1.1.1

Cancel the common factor.

$24 \frac{y}{24} = 24 (1 - \frac{x}{29})$

Step 1.4.1.1.2

Rewrite the expression.

$y = 24 (1 - \frac{x}{29})$

Step 1.4.2

Simplify the right side.

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Step 1.4.2.1

Simplify $24 (1 - \frac{x}{29})$ .

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Step 1.4.2.1.1

Apply the distributive property.

$y = 24 \cdot 1 + 24 (- \frac{x}{29})$

Step 1.4.2.1.2

Multiply $24$ by $1$ .

$y = 24 + 24 (- \frac{x}{29})$

Step 1.4.2.1.3

Multiply $24 (- \frac{x}{29})$ .

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Step 1.4.2.1.3.1

Multiply $- 1$ by $24$ .

$y = 24 - 24 \frac{x}{29}$

Step 1.4.2.1.3.2

Combine $- 24$ and $\frac{x}{29}$ .

$y = 24 + \frac{- 24 x}{29}$

Step 1.4.2.1.4

Move the negative in front of the fraction.

$y = 24 - \frac{24 x}{29}$

Step 1.5

Reorder $24$ and $- \frac{24 x}{29}$ .

$y = - \frac{24 x}{29} + 24$

Step 1.6

Write in $y = m x + b$ form.

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Step 1.6.1

Reorder terms.

$y = - (\frac{24}{29} x) + 24$

Step 1.6.2

Remove parentheses.

$y = - \frac{24}{29} x + 24$

Step 2

Using the slope-intercept form, the y-intercept is $24$ .

$b = 24$

Step 3

y-intercept in point form.

$(0, 24)$

Step 4