Question

which of the following lines is parallel to $y=-(2)/(3)x + 4$?

• $y=(2)/(3)x - 1$
• $y=(3)/(2)x + 1$
• $y=(3)/(2)x - 1$
• $y=-(2)/(3)x - 1$

Explanation:

Step1: Recall parallel line rule

Parallel lines have equal slopes.

Step2: Identify given line's slope

The given line is $y=-\frac{2}{3}x+4$, so slope $m=-\frac{2}{3}$.

Step3: Match slope to options

Find the option with slope $-\frac{2}{3}$.

Answer:

y=-(2)/(3)x-1