Question

Consider the following system of equations.
y = 4x - 4
y - 4x = 3
What can you conclude about the system of equations?

Answer 1

Consider the equation of a straight line:

y=mx+b

m = the slope.

if two lines have the same slope they are parallel lines.

Answer 2

I believe that these system of equations:
y=0 so the next equation would read:
0-4x=3

Answer 3

rewrite your second equation so that the x term is on the otherside and see if the slope is the same.

Answer 4

x=-3/4

Answer 5

so the systems are on the same line, right? So wouldn't that make them dependent?

Answer 6

They are not on the same line as they cross the y axis at different points, -4 and 3.

Answer 7

Parallel lines are inconsistent.

Answer 8

I see! Thanks!

Answer 9

:)