Question

what is the point of intersection of x-2y=8 and y=2- 1/2 x

Answer 1

There are several ways you can go about solving this. The easiest way is to graph it with desmos. But I'll show you how to do it algebraically.

So what it means when it says the point of intersection is what is the ordered pairs.

Well we can do this using substitution since that might be easier

So since y = 2 - 0.5x we can substitute it into x - 2y = 8
That gets us:

x - 2(2 - 0.5x) = 8

Next distribute the -2:

x -4 + x = 8

Combine like terms and solve for x!

2x =  12
x = 6

Now substitute x into any of our y = 2 - 0.5x so we get

y = 2 - 0.5(6)

y = -1

So our answer is (6,-1)