Which equation could have been used to create this table? a. y = x + 3 b. y = 4x c. y = 3x d. y = x + 2

y = 3x

Step-by-step explanation:

(1,3) (2,6)

The first step is to find the rate of change ( or slope)

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

m = (6-3)/(2-1)

m = 3/1

m = 3

Then  we need to use the point slope form of the equation of a line

y-y1 = m(x-x1)

y-3 = 3(x-1)

Distribute the 3

y-3 = 3x-3

Add 3 to each side

y-3+3 = 3x-3+3

y = 3x

The slope-intercept form:

m - slope

b - y-intercept

The formula of a slope:

We have the points (1, 3) and (2, 6). Substitute:

Therefore we have:

Put the coordinates of the point (1, 3) to the equation and calculate a value of b:

           subtract 3 from both sides