Finite Math Examples

$x - y + 2 = 0$

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 $x$ from both sides of the equation.

$- y + 2 = - x$

Step 1.2.2

Subtract $2$ from both sides of the equation.

$- y = - x - 2$

Step 1.3

Divide each term in $- y = - x - 2$ by $- 1$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $- y = - x - 2$ by $- 1$ .

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

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Dividing two negative values results in a positive value.

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

Step 1.3.2.2

Divide $y$ by $1$ .

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

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

Dividing two negative values results in a positive value.

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

Step 1.3.3.1.2

Divide $x$ by $1$ .

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

Step 1.3.3.1.3

Divide $- 2$ by $- 1$ .

$y = x + 2$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Step 2.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 1$

$b = 2$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $1$

y-intercept: $(0, 2)$

Slope: $1$

y-intercept: $(0, 2)$

Step 3