A system of equations is graphed on the coordinate plane. y=−2x−3 y=−2x+2 How would you classify this system of equations? Question 5 options: Consistent Consistent and Coincide…

Question

asked Jan 10, 2020 196k views

1 Answer

Brian Witt · Answer 1 · 2020-01-14T16:12:52+0000

Answer: Last option.

Explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the first equation:

y=-2x-3

You can identify that:

$m_1=-2\\b_1=-3$

And given the second equation:

y=-2x+2

You can identify that:

$m_2=-2\\b_2=2$

Then, since:

$m_1=m_2\\\\b_1\\eq b_2$

You can conclude that the lines are parallel.

By defintion, when the lines of a system of equations are parallel, the system has No solution and it is classified as "Inconsistent".