Question

the equation of line g is $y = \frac{4}{9}x + 7$. line h is parallel to line g. what is the slope of line h? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope of parallel lines

Parallel lines have equal slopes. 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 slope of line g

For the line \(g\) with equation \(y=\frac{4}{9}x + 7\), comparing with \(y=mx + b\), the slope \(m\) of line \(g\) is \(\frac{4}{9}\).

Step3: Determine slope of line h

Since line \(h\) is parallel to line \(g\), the slope of line \(h\) is equal to the slope of line \(g\).

Answer:

\(\frac{4}{9}\)