Question

the equation of line d is $y = \frac{3}{4}x + 8$. line e is parallel to line d. what is the slope of line e? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope of parallel lines

Parallel lines have the same slope. The equation of a line in slope - intercept form is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Identify the slope of line \(d\)

For the line \(d\) with equation \(y=\frac{3}{4}x + 8\), comparing it with \(y = mx + b\), we can see that the slope \(m\) of line \(d\) is \(\frac{3}{4}\).

Step3: Determine the slope of line \(e\)

Since line \(e\) is parallel to line \(d\), the slope of line \(e\) is equal to the slope of line \(d\). So the slope of line \(e\) is \(\frac{3}{4}\).

Answer:

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