Find the Slope and y-intercept y-1/2x-4=0

$y - \frac{1}{2} x - 4 = 0$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Simplify the left side.

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

$y - \frac{x}{2} - 4 = 0$

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

Add $\frac{x}{2}$ to both sides of the equation.

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

Add $4$ to both sides of the equation.

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

Reorder terms.

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

Step 2

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

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

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

$b = 4$

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