Question

find the y-intercept and the slope of the line.

$y = \frac{5}{4}$

y-intercept:

slope:

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.

Step2: Analyze the given equation \(y=\frac{5}{4}\)

We can rewrite the equation \(y=\frac{5}{4}\) as \(y = 0x+\frac{5}{4}\). By comparing with \(y=mx + b\):

• For the \(y\) - intercept (\(b\)): When \(x = 0\), \(y=\frac{5}{4}\). So the \(y\) - intercept \(b=\frac{5}{4}\).
• For the slope (\(m\)): The coefficient of \(x\) is \(0\), so the slope \(m = 0\).

Answer:

\(y\) - intercept: \(\frac{5}{4}\)
slope: \(0\)