Question

Slope of Linear EquationsWhich description best compares the graph given by the following equations:23-5y = 82Y == -6Choose one. 4 pointsO parallelO perpendicularintersecting but not perpendicularO coinciding

Answer 1

The two lines are parallel.

Step-by-step explanation:

We have the equations:

`\begin{gathered} 2x-5y=8 \\ y=(2)/(5)x-6 \end{gathered}`

Let's solve the first one for y, so we get the same formatting on both euqations:

`\begin{gathered} 2x-5y=8 \\ 5y=2x-8 \\ y=(2)/(5)x-(8)/(5) \end{gathered}`

SInce the two lines have the same slope, 2/5, the two lines are parallel.