Calculus Examples

$y = \frac{2 x + 3}{4}$

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

Simplify $\frac{2 x + 3}{4}$ .

Tap for more steps...

Step 1.2.1

Split the fraction $\frac{2 x + 3}{4}$ into two fractions.

$y = \frac{2 x}{4} + \frac{3}{4}$

Step 1.2.2

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

Tap for more steps...

Step 1.2.2.1

Factor $2$ out of $2 x$ .

$y = \frac{2 (x)}{4} + \frac{3}{4}$

Step 1.2.2.2

Cancel the common factors.

Tap for more steps...

Step 1.2.2.2.1

Factor $2$ out of $4$ .

$y = \frac{2 x}{2 \cdot 2} + \frac{3}{4}$

Step 1.2.2.2.2

Cancel the common factor.

$y = \frac{2 x}{2 \cdot 2} + \frac{3}{4}$

Step 1.2.2.2.3

Rewrite the expression.

$y = \frac{x}{2} + \frac{3}{4}$

Step 1.3

Reorder terms.

$y = \frac{1}{2} x + \frac{3}{4}$

Step 2

Using the slope-intercept form, the slope is $\frac{1}{2}$ .

$m = \frac{1}{2}$

Step 3