Question

A system of equations is graphed on the coordinate plane.

Answer 1

Answer: Last option.

Step-by-step 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:

$m_1=m_2\\\\b_1\neq b_2$

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".