Question

Without graphing determine if the lines represented by the equation are same, are different and intersect at a point or are different and parallel

x + 2y =8
2x + y = 4

this one is alot harder!

Answer 1

Write both equations as
y = something
y = something else

then use the same test we used last time

Answer 2

wait what? im not following

Answer 3

Last time you had lines in the form
y = mx + c, where m and c are constants
e.g., you had an equation like
y = -4x + 3

We also last time had a test: If you have two lines in the form
y = mx + c

then they are parallel if and only if their slopes, the number m for both, are the same.

We want now to use that same test here. But in order to do so, we need to write both lines in this form: y = mx + c.

So take your two lines:
x + 2y =8
2x + y = 4

and put them both in that form.

Answer 4

ah it all makes sense now thank you!