Question

How many solutions exist for the system y = 2x + 5 and y = -0.2x - 4?

Answer 1

do the 2 lines have the same slope ?

Answer 2

IDK

Answer 3

when you have an equation in the form
y = m x + b
where m and b are numbers
then the "m" is the slope

both of your equations are in the form y= mx + b

Answer 4

Then the slopes are 2 and -0.2?

Answer 5

yes, exactly.

the slope tells you how much over and up they are going. negative slope means they slope down from left to right
.
.
. the dots make a line that has negative slope

plus slope means they go up from left to right
.
.
. these dots have plus slope

I get the impression the lines will cross somewheres (the lines go on forever)

Answer 6

Ok thnx, How do I give Medals?

Answer 7

The "solution" is where the lines cross. Lines will cross only at one point (lines don't loop back so they cross only once)

Answer 8

Ok thnk U and How do I give Medals?

Answer 9

like that. Hit best response

Answer 10

I think they want you to learn that you will get one solution if the slopes are different.
(they are here)

if the slopes are the same, one of two things happen:
1) the lines run parallel to each other and *never* cross . that means no solution
2) the lines like on top of each other (really they are the same line). that means infinite number of solutions, because the lines "intersect" everywhere