Asystem 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

Last option.

Step-by-step explanation:

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

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

Given the first equation:

You can identify that:

And given the second equation:

You can identify that:

Then, since:

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".

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4