Question

find the slope and the y-intercept of the line.
y = -\frac{3}{2}x + 3
slope:

y -intercept:

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 slope (\(m\))

For the equation \(y=-\frac{3}{2}x + 3\), comparing with \(y = mx + b\), we see that \(m=-\frac{3}{2}\). So the slope is \(-\frac{3}{2}\).

Step3: Identify \(y\)-intercept (\(b\))

Again, comparing \(y =-\frac{3}{2}x+3\) with \(y = mx + b\), we see that \(b = 3\). So the \(y\)-intercept is \(3\).

Answer:

slope: \(-\frac{3}{2}\)
\(y\)-intercept: \(3\)