Question

Look at the table of values below.

Х
у
1.
3
2
7
3
11
Which equation is represented by the table?
O A. y = 2x + 1
OB. y = 3x + 2
O C. y = 4x - 1
OD.y = 5x - 3

Answer 1

Correct answer It’s letter c

Answer 2

Answer: C. y = 4x-1

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Step-by-step explanation:

Each time x goes up by 1, the y value goes up by 4. The slope must be 4/1 = 4.

You can use the slope formula, picking any two points from the table, to get the same result. Let's say we used the first two rows

m = (y2 - y1)/(x2 - x1)

m = (7-3)/(2-1)

m = 4/1

m = 4

So the answer must be y = 4x-1 as its the only equation with a slope of 4.

To find the y intercept, we plug m = 4 and (x,y) = (1,3) into y = mx+b to solve for b. You can use any (x,y) pair from the table. I picked the first row

y = mx+b

3 = 4(1)+b

3 = 4+b

3-4 = b

-1 = b

b = -1

Since m = 4 and b = -1, we go from y = mx+b to y = 4x+(-1) or y = 4x-1