Pre-Algebra Examples

$(y + 3) = \frac{1}{2} \cdot (x - 2)$

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 the right side.

Tap for more steps...

Step 1.2.1

Simplify $\frac{1}{2} \cdot (x - 2)$ .

Tap for more steps...

Step 1.2.1.1

Apply the distributive property.

$(y + 3) = \frac{1}{2} x + \frac{1}{2} \cdot - 2$

Step 1.2.1.2

Combine $\frac{1}{2}$ and $x$ .

$(y + 3) = \frac{x}{2} + \frac{1}{2} \cdot - 2$

Step 1.2.1.3

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.2.1.3.1

Factor $2$ out of $- 2$ .

$(y + 3) = \frac{x}{2} + \frac{1}{2} \cdot (2 (- 1))$

Step 1.2.1.3.2

Cancel the common factor.

$(y + 3) = \frac{x}{2} + \frac{1}{2} \cdot (2 \cdot - 1)$

Step 1.2.1.3.3

Rewrite the expression.

$(y + 3) = \frac{x}{2} - 1$

Step 1.3

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

Tap for more steps...

Step 1.3.1

Subtract $3$ from both sides of the equation.

$y = \frac{x}{2} - 1 - 3$

Step 1.3.2

Subtract $3$ from $- 1$ .

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

Step 1.4

Reorder terms.

$y = \frac{1}{2} x - 4$

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 $y = m x + b$ .

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

$b = - 4$

Step 2.2

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

Slope: $\frac{1}{2}$

y-intercept: $(0, - 4)$

Slope: $\frac{1}{2}$

y-intercept: $(0, - 4)$

Step 3