Question

find the slope of the line ( y = \frac{-3}{4}x ). simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 the slope from the given equation

For the equation \(y=\frac{- 3}{4}x\), we can compare it with \(y = mx + b\). Here, \(b = 0\) (since there is no constant term) and \(m=\frac{-3}{4}\). So the slope of the line \(y=\frac{-3}{4}x\) is \(\frac{-3}{4}\) (or \(-\frac{3}{4}\)).

Answer:

\(-\frac{3}{4}\)