Question

after graphing $y = \frac{2}{3}x - 2$ and $y = \frac{2}{3}x + 3$, how many times do the two graphs intersect?\
\bigcirc 3\
\bigcirc 0\
\bigcirc 2\
\bigcirc 4

Explanation:

Step1: Identify slope of each line

For $y=\frac{2}{3}x - 2$, slope $m_1=\frac{2}{3}$.
For $y=\frac{2}{3}x + 3$, slope $m_2=\frac{2}{3}$.

Step2: Compare slopes and y-intercepts

Since $m_1=m_2$ and y-intercepts $-2
eq3$, the lines are parallel.

Step3: Determine intersection count

Parallel lines never intersect, so intersection count is 0.

Answer:

0