Question

Construct a linear equation for the linear data presented in the table.

A) y = x + 3
B) y = 2x + 3
C) y=x-3
D) y = 2x - 3

Answer 1

Answer: A) y = x + 3

Explanation:

Use two points given in the table and plug them into slope-intercept form y = mx + b.

In order to solve for m, the slope, by plugging them into
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`.

(0, 3) (2, 5)

`(5-3)/(2-0)` =
`(2)/(2)` = 1

Use one of the points and plug it into the slope-intercept form y = mx + b.

3 = 1(0) + b

3 = 0 + b

3 = b

The linear equation to the table would be y = x + 3.