Pre-Algebra Examples

$2 x - 4 y + 10 = 0$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

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

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

Tap for more steps...

Step 1.2.1

Subtract $2 x$ from both sides of the equation.

$- 4 y + 10 = - 2 x$

Step 1.2.2

Subtract $10$ from both sides of the equation.

$- 4 y = - 2 x - 10$

Step 1.3

Divide each term in $- 4 y = - 2 x - 10$ by $- 4$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $- 4 y = - 2 x - 10$ by $- 4$ .

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

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Cancel the common factor of $- 4$ .

Tap for more steps...

Step 1.3.2.1.1

Cancel the common factor.

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

Step 1.3.2.1.2

Divide $y$ by $1$ .

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

Step 1.3.3

Simplify the right side.

Tap for more steps...

Step 1.3.3.1

Simplify each term.

Tap for more steps...

Step 1.3.3.1.1

Cancel the common factor of $- 2$ and $- 4$ .

Tap for more steps...

Step 1.3.3.1.1.1

Factor $- 2$ out of $- 2 x$ .

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

Step 1.3.3.1.1.2

Cancel the common factors.

Tap for more steps...

Step 1.3.3.1.1.2.1

Factor $- 2$ out of $- 4$ .

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

Step 1.3.3.1.1.2.2

Cancel the common factor.

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

Step 1.3.3.1.1.2.3

Rewrite the expression.

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

Step 1.3.3.1.2

Cancel the common factor of $- 10$ and $- 4$ .

Tap for more steps...

Step 1.3.3.1.2.1

Factor $- 2$ out of $- 10$ .

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

Step 1.3.3.1.2.2

Cancel the common factors.

Tap for more steps...

Step 1.3.3.1.2.2.1

Factor $- 2$ out of $- 4$ .

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

Step 1.3.3.1.2.2.2

Cancel the common factor.

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

Step 1.3.3.1.2.2.3

Rewrite the expression.

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

Step 1.4

Reorder terms.

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

Step 2

Using the slope-intercept form, the y-intercept is $\frac{5}{2}$ .

$b = \frac{5}{2}$

Step 3

y-intercept in point form.

$(0, \frac{5}{2})$

Step 4