Question

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x

Answer 1

y+6x + 3

Step-by-step explanation: I took the test on K12 :)

Answer 2

• B. y = 6x + 3

Explanation:

Given

• x = {5, 6, 7, 8, 9} and
• y = {33, 39, 45, 51, 57}

The equation in slope- intercept form:

• y = mx + b

Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:

• m = (39 - 33)/(6 - 5) = 6/1 = 6

Using one point (5, 33) to find the y-intercept:

• 33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3

The equation is:

• y = 6x + 3

Correct option is B