Question

multiple-choice question
is $y = \frac{4}{3}x - 5$ parallel to $4x - 3y = 18$?
no
yes

Explanation:

Step1: Recall slope of parallel lines

Parallel lines have equal slopes. So we need to find the slopes of both lines.

Step2: Find slope of \( y = \frac{4}{3}x - 5 \)

This is in slope - intercept form \( y=mx + b \), where \( m \) is the slope. So the slope \( m_1=\frac{4}{3} \).

Step3: Rewrite \( 4x - 3y = 18 \) in slope - intercept form

First, solve for \( y \):

$$
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$$

The slope of this line \( m_2 = \frac{4}{3} \).

Step4: Compare the slopes

Since \( m_1=m_2=\frac{4}{3} \), the two lines are parallel.

Answer:

yes (the option with "yes")