Question

A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 2, 4), (0, 2), and the point (1, 1). The other line is labeled g(x) and passes through (negative 3, negative 3), (0, 0) and the point (1, 1).
Which input value produces the same output value for the two functions on the graph?

x = −1
x = 0
x = 1
x = 2

Answer 1

Welcome to QuestionCove!

So your question says that the first line passes through the points
(-2, 4), (0, 2), (1, 1)

The second line passes through
(-3, -3), (0, 0), (1, 1)

We don't have to even do much work since they themselves gave us the point that both lines intersect at.

What point do both lines have in common?

Remember, points are written as (x, y)
x is our input
y is our output

So what is the input that gives us the same output in both lines?

realize that an input that gives us the same output in both lines is where the two lines intersect. So if you say a graph of it, this would be the point at where they cross.

Let me know if you understood that or if you need more clarification! I'd be more than happy to explain further or check your work/answer.

Answer 2

Were you able to make any progress? @payton

Answer 3

no not really, i wish you would just explain it easier and more simple.

Answer 4

Ah of course. Thank you for responding.

So let me know if you understood this

A line is made up of at least two points. If you have two points, you can draw a line through it.

So a line is made up of a bunch of points

Now I'm sure you've seen graphing paper and you draw the x-axis and y-axis to draw a line

So the points are like (x, y)

So for example if we have (2, 3)
That would be 2 units to the left on the x-axis and three units up on the y-axis

You can play around with www.desmos.com/calculator
And plug in (2, 3) and see where it falls

Answer 5

Let me know if I lose you and where I lose you!

So basically a line is made up of a bunch of points

The x-axis is the horizontal line
The y-axis is the vertical line

And we number those axis with 1, 2, 3, and so on

Now when we're writing a point, we write it in the form of (x, y)
x is our input number, y is our output

Because if you think about any equation, we use these letters (we call this a variable in math, because we can plug in any number into x (the input) and get a value for y (our output))

Answer 6

So for example, this is unrelated to your question

we could have an equation like
y = 5x + 4

If I tell you x is 3
Then you can plug that in and get (5*3)+4 = 15+ 4 = 19
So y = 19 when x = 3

So y is the number that we get out when we input a number for x

Answer 7

are you a real person?

Answer 8

Haha I'm a human on this other side. (((:

Answer 9

hahah

Answer 10

Are you able to follow what I'm saying?

Answer 11

yes

Answer 12

are you a teacher??

Answer 13

Are my explanations that tough to understand or am I doing a really good job? 😂😂

Answer 14

I'm actually just a college student :)

Answer 15

no im just slaow and its harder for me to understand things

Answer 16

oh cool

Answer 17

Yeah it's sometimes harder to explain things just through text compared to in person with a piece of paper and a pen

Answer 18

yes

Answer 19

so is this what you do all day long?

Answer 20

oh dear Lord, no

I'd get a headache if I was answering math questions all day long

I was once like you, needed help on a math question many years ago and so I stumbled upon a site similar to this that has since closed and this website has replaced it

And math is my strong suit so I just help people like yourself who are struggling a little :)

Answer 21

what college level are you at?

Answer 22

Here click this
https://www.desmos.com/calculator/7qmvnwmezo

Answer 23

That will show you a graph for your question

Do you see how there's two lines?
You can even see the points

Do you see where they cross each other, where they "intersect"

Now your question is really really simple
It just wants to know what input value produces the same output value for both the lines

It looks really scary but when you understand it, it's very simple. All it's asking is
Where do the lines meet? What is the x-value of the lines where they meet

Remember the point where they both cross each other
What is the x-coordinate of it

Answer 24

are you set @payton

Answer 25

yeah i passed it

Answer 26

thx

Answer 27

Of course, no problem!

Answer 28

ur the best

Answer 29

the answer is 3

Answer 30

thank you :))

if you ever stumble on any other question, feel free to post it and we can take a look at it

Answer 31

that's wrong and not even an answer choice 😂

Answer 32

i was close

Answer 33

but not close enough

Answer 34

lol