Question

Question 5 (4 points) (05.02) A line passes through (28) and (4, 12). Which equation best represents the line? (4 points) Oa y= 2x=6 Ob y=*-7 Ос 1 y=2x-10​

Answer 1

`y = 2x + 4`

Explanation:

Given

`(x_1,y_1) = (2,8)`

`(x_2,y_2) = (4,12)`

Required

Determine the line equation

This will be solved using linear interpolation as follows:

`(y - y_1)/(x - x_1) =(y_2 - y_1)/(x _2- x_1)`

Where:

`(x_1,y_1) = (2,8)`

`(x_2,y_2) = (4,12)`

So, we have:

`(y - 8)/(x - 2) =(12 - 8)/(4-2)`

`(y - 8)/(x - 2) =(4)/(2)`

`(y - 8)/(x - 2) =2`

Cross Multiply:

`y - 8 = 2(x - 2)`

Open bracket

`y - 8 = 2x - 4`

Make y the subject

`y = 2x - 4+8`

`y = 2x + 4`