Question

Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis.

Answer 1

The answer is y = -2x + 6

Explanation:

Complete Question:

Complete the equation of the line through (1,4) and (2,2)

Answer: y = -2x + 6

Hope this helps! :)

Answer 2

`y = -2x + 6`

Explanation:

Given

`(x_1,y_1) = (1,4)`

`(x_2,y_2) = (2,2)`

Required

Determine the line equation

First, we calculate the slope (m) using

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (2-4)/(2-1)\\`

`m = (-2)/(1)`

`m = -2`

The equation is then calculated using:

`y - y_1 = m(x - x_1)`

`y - 4 = -2(x - 1)`

Open bracket

`y - 4 = -2x + 2`

`y = -2x + 2 + 4`

`y = -2x + 6`