Question

1 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 slope from the given equation

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

Step3: Identify y - intercept from the given equation

Again, comparing \(y = -\frac{3}{2}x+0\) with \(y = mx + b\), we see that \(b = 0\). So the \(y\) - intercept is \(0\).

Answer:

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