Question

19 find the slope and y-intercept from the equation: $y = -\frac{3}{2}x$ slope = y-intercept =

Explanation:

Step1: Recall slope - intercept form

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

Step2: Identify \(m\) and \(b\) from the given equation

The given equation is \(y=-\frac{3}{2}x\). We can rewrite it as \(y = -\frac{3}{2}x+0\).
Comparing with \(y = mx + b\), we see that \(m = -\frac{3}{2}\) (this is the slope) and \(b = 0\) (this is the \(y\) - intercept).

Answer:

Slope \(=-\frac{3}{2}\)
Y - Intercept \(= 0\)