Question

A line passes through (2,6) and 4, 12).Which equation best represents the line? A. Y= 1/2x + 6 B. Y= 2x + 7 C. Y= 2x +4 D. Y=1/2x + 10

Answer 1

y = 3x

Explanation:

the given co - ordinates are:

x1, y1 = 2, 6

x2, y2 = 4, 12

equation of the line is:

y = mx + b

slope, m = y2 - y1 / x2 - x1

= 12 - 6 / 4 - 2 = 6/2 = 3

let's take x1, y1 as x, y co - ordinates to find the constant, b:

6 = 3(2) + b

6 - 6 = b

b = 0

thus,

the equation of the line is:

y = 3x