Question

y = \frac{7}{4}x - 4
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 equation

Given the equation \(y=\frac{7}{4}x - 4\), comparing it with \(y = mx + b\), we can see that \(m=\frac{7}{4}\). So the slope is \(\frac{7}{4}\).

Step3: Identify y - intercept from the equation

Again, comparing \(y=\frac{7}{4}x - 4\) with \(y = mx + b\), we have \(b=- 4\). So the \(y\) - intercept is \(-4\).

Answer:

Slope: \(\frac{7}{4}\)
y - intercept: \(-4\)