Question

Determine whether the lines are parallel, perpendicular, intersect, or coincide.y=2x+5y=2x-1

Answer 1

Answer:

Parallel.

Explanation:

Given the lines:

$\begin{gathered} y=2x+5 \\ y=2x-1 \end{gathered}$

Comparing with the slope-intercept form of a line: y=mx+b

$\begin{gathered} \text{Slope of y=2x+5 is 2} \\ \text{Slope of y=2x-1 is 2} \end{gathered}$

Since the slopes of the two lines are the same, they are parallel.