Question

Which description best compares the graph given by the following equations: 2 x – 5 y = 8 y = 2 5 x − 6

Answer 1

A description that best compares the graph given by the following equations is: A. parallel.

In Mathematics, two lines are parallel under the following conditions:

Slope of line 1,
`m_1` = Slope of line 2,
`m_2`

Additionally, a condition that must be true for two lines to be perpendicular is given by:

`m_1 * m_2 = -1`

Next, we would rewrite the given equation in standard form in slope-intercept form as follows;

2x - 5y = 8

5y = 2x - 8

y = 2/5(x) - 8/5

Since the slope of the equation of the two lines have the same value of 2/5, we can reasonably and logically deduce that they are both parallel lines as shown in the picture attached below.

Complete Question:

Which description best compares the graph given by the following equations:

2x -5y=8

y = 2/5(x) - 6

parallel

perpendicular

intersecting but not perpendicular

coinciding