QuestionFind the $y$ -intercept and the slope of the line. $y=\frac{1}{2}$ $y$ -intercept: $\square$ Undefined slope:

Studdy Solution

STEP 1

1. The equation of the line is given in the form $y = \frac{1}{2}$ .
2. The line represents a horizontal line in the Cartesian plane.
3. The $y$ -intercept is the point where the line crosses the $y$ -axis.
4. The slope of a horizontal line is 0.

STEP 2

1. Identify the $y$ -intercept from the given equation.
2. Determine the slope of the line.

STEP 3

Identify the $y$ -intercept from the given equation $y = \frac{1}{2}$ .
The $y$ -intercept occurs where the line crosses the $y$ -axis. For a line given by $y = c$ , the $y$ -intercept is simply the constant $c$ .
$\text{y-intercept} = \frac{1}{2}$

STEP 4

Determine the slope of the line $y = \frac{1}{2}$ .
A horizontal line has a slope of 0 because there is no change in $y$ as $x$ changes.
$\text{slope} = 0$
Solution: $\text{y-intercept} = \frac{1}{2}$ $\text{slope} = 0$

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