Question

Look at the table of values below.

x y
1 3
2 7
3 11
Which equation is represented by the table?

Answer 1

y=2x+1
y=3x+2
y=4x-1
y=5x-3

Answer 2

@jcpd910 @kirbykirby @phi

Answer 3

You can find the slope of the line by finding the following:
\[\frac{y_2-y_1}{x_2-x_1} \] where (\(x_1, y_1)\), \((x_2, y_2)\) are two coordinates given from your table. In fact, once you determine this, only one answer will be good since all the given slopes are different, so calculating the y-intercept would;t be necessary

Answer 4

A little confusing

Answer 5

But if you did want to find the y-intercept, to be certain, then you can just plug in any point from your table, and solve for \(b\)

Answer 6

@jcpd910

Answer 7

Say you choose two points (1, 3) and (2, 7)
These will be \((x_1, y_1)\) and \((x_2, y_2)\).

Answer 8

kirby explained it, well

Answer 9

Im so confused

Answer 10

7 - 3 over 2 - 1
4 over 1
That's your slope.

Answer 11

So, 4 over 1 is 4

Answer 12

and the equation is
y = mx + b
where m is the slope and b is the y intercept.

Answer 13

if four is your slope, you can see that in your answer choices there is only one correct answer.

Answer 14

Thank you very much @jcpd910. Thank you also @kirbykirby but you have to break it down a little better for me to understand this graphing stuff.

Answer 15

No problem.