Question

Solve the linear system by graphing.

y=-x-2
y=x+6

Answer 1

if you'll graph these two functions, there will be an intersection. This intersection will be the solution of this system.

Answer 2

but how?

Answer 3

@wolfe8

Answer 4

For the first one, you'll go right 2 but make it facing down since it's a negative x. For the second, you go left 6.

Answer 5

Set them up equal to each other like this:
-x-2=x+6 -------To solve it you have to get one variable to the other side. either one
+x +x
-2 = x+6 --------To get x by itself, always do the opposite of what is With the number
-6 -6 - and + cancel each other out now you are left with x
-8 = x ------> divide is your last step
And your answer is x=-8

Answer 6

but how do you get the y coordinate

Answer 7

Here is how: You have your x. Now to get your y, all you have to do is plug in x for the equation. Doesn't matter which one:)
y=x+6
y=-8+6
y=-2

Answer 8

so it is -8,-2

Answer 9

Yep!!:) You're correct!!:) Do you see where I got that from?