Answered

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 Coincident


Inconsistent

Answer :

luisejr77

Answer: Last option.

Step-by-step explanation:

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

[tex]y=mx+b[/tex]

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

Given the first equation:

[tex]y=-2x-3[/tex]

You can identify that:

[tex]m_1=-2\\b_1=-3[/tex]

And given the second equation:

[tex]y=-2x+2[/tex]

You can identify that:

[tex]m_2=-2\\b_2=2[/tex]

Then, since:

[tex]m_1=m_2\\\\b_1\neq b_2[/tex]

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".

Other Questions