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$y=\frac{5}{2}$ $\newline$ y-intercept: Undefined $\newline$ \left(\frac{\square}{\square}\right) $\newline$ 믐 $\newline$ Undefined $\newline$ slope:

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Write equations of cosine functions using properties

Full solution

Q.

y=\frac{5}{2}

\newline

y-intercept: Undefined

\newline

\left(\frac{\square}{\square}\right)

\newline

믐

\newline

Undefined

\newline

slope:

Identify question prompt: The question prompt is asking for the slope of a line that has a constant $y$ -value of $\frac{5}{2}$ and an undefined $y$ -intercept.
Horizontal line characteristics: A line with a constant $y$ -value, such as $y=\frac{5}{2}$ , is a horizontal line. The slope of a horizontal line is $0$ because there is no change in the $y$ -value as the $x$ -value changes.
Calculate slope using formula: The slope $m$ of a line is calculated using the formula $m = (\text{change in } y) / (\text{change in } x)$ . For a horizontal line, the change in $y$ is $0$ , so the slope $m = 0 / (\text{change in } x) = 0$ .
Y-intercept is undefined: Since the line is horizontal and has a constant $y$ -value, it does not cross the $y$ -axis at any point; therefore, the $y$ -intercept is undefined. This is consistent with the information given in the problem.

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