Question

find the y-intercept and the slope of the line.
y = -\frac{5}{4}x + 1
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: Identify \(y\) - intercept

For the equation \(y=-\frac{5}{4}x + 1\), comparing with \(y = mx + b\), we can see that \(b = 1\). So the \(y\) - intercept is \(1\).

Step3: Identify slope

For the equation \(y=-\frac{5}{4}x + 1\), comparing with \(y = mx + b\), we can see that \(m=-\frac{5}{4}\). So the slope is \(-\frac{5}{4}\).

Answer:

\(y\) - intercept: \(1\)
slope: \(-\frac{5}{4}\)