Question

the equation of line d is $y = \frac{-7}{6}x + 7$. 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-intercept form

The slope - intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. For the line \(d\) with equation \(y=\frac{- 7}{6}x + 7\), by comparing with \(y=mx + b\), we can see that the slope \(m\) of line \(d\) is \(\frac{-7}{6}\) (or \(-\frac{7}{6}\)).

Step2: Use the property of parallel lines

One of the key properties of parallel lines in a plane is that they have the same slope. Since line \(e\) is parallel to line \(d\), the slope of line \(e\) is equal to the slope of line \(d\).

Answer:

\(-\frac{7}{6}\)