Question

Ebook

2.3.49
Write an equation in standard form of the line passing through the points (1,5) and (3, 13).

Answer 1

`y - 4x = 1`

Explanation:

Given

`(x_1,y_1) = (1,5)`

`(x_2,y_2) = (3,13)`

Required

The equation of the line

Back up:

First, calculate the slope(m)

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

`m = (13-5)/(3-1)`

`m = (8)/(2)`

`m = 4`

Calculate the area using:

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

`y- 5 = 4(x - 1)`

`y- 5 = 4x - 4`

Collect Like Terms

`y - 4x = 5 - 4`

`y - 4x = 1`