Question

look at the table of x and y (1-3) (2-7) (3-11) which equation is represented by the table a)y=2x+1 B)y=3x+2 C) y=4x-1 D)5x-3

Answer 1

(1,3) , (2,7), and (3,11):
Let's find the slope m between (1,3) and (2,7)
Slope = Rise / Run
m = (7-3) / (1)
m = 4.

Our equation y=mx +b  has a slope of 4. Since C is the only option that satisfies this, we already know the answer, but let's find the y-intercept.
y = mx + b.       Plug in 4 for m, and the first coordinate (1,3) for x and y
3 =4(1) + b       Subtract 4 from both sides
b = -1
Our function is y =4x - 1
Answer is C) y=4x-1