Question

Which system of equations is represented by the graph?

Answer 1

The answer choices are
y = x plus 4, over x plus 2
y = x + 4

y = x plus 4, over x plus 2
y = x − 4

y = x minus 4, over x plus 2
y = x + 4

y = x minus 4, over x plus 2
y = x − 4

Answer 2

it is the last choice you have listed there, and I can tell you how you could VERY EASILY find it out on your own, if you're interested to know!

Answer 3

sure

Answer 4

Ok, if you write each equation down and make an x/y table for the values, you plug in the points they gave you from the graph and see if the x value you get in your equation with a given x value equals the y value from the graph. For example,

Answer 5

I tried\[\frac{ x+4 }{ x+2 }\]That's the first choice you have listed there. When you plug in one x value from you graph (I used the -1), you should get a y value of -5. BUT when you plug -1 into that first equation, you get 3, not -5. So I knew it wasn't that equation. Then try the next one, then the next one...til you get to the last one: \[\frac{ x-4 }{ x+2 }\]When you plug in -1 for x, the result is -5. So that's how you know that that is the equation for the curvy graph (which actually looks like a log function).

Answer 6

And of course for the straight line, use the slope-intercept rule and see that the y intercept is at -4 with a slope of +1. See that? Just use a table and the given x values from the graph and test each one using the x value. y should come out to what your y value is on the graph. If it doesn't, it's not the right equation!

Answer 7

Wow, thanks! That actually really helps a lot!

Answer 8

Very cool! You're welcome!

Answer 9

You can rename yourself "reallygoodatmathguy12". ; )

Answer 10

Keep working at it; you'll get it!