Question

select whether the pair of lines is parallel, perpendicular, or neither.
y = 2x + 4, y = 2x - 10
select choice

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.

Step2: Find the slopes of the two lines

For the line $y = 2x+4$, by comparing with $y = mx + b$, the slope $m_1=2$.
For the line $y = 2x - 10$, by comparing with $y = mx + b$, the slope $m_2 = 2$.

Step3: Determine the relationship between the lines

Two lines are parallel if their slopes are equal ($m_1=m_2$), perpendicular if the product of their slopes is $- 1$ ($m_1\times m_2=-1$), and neither otherwise.
Since $m_1 = m_2=2$, the two lines are parallel.

Answer:

Parallel