Question

Hey how to do this and what the answer​

Answer 1

5x + y - 4 = 0

Explanation:

When we are given two points and are asked to find the equation of the line we use the two - point form.

Two - point form:
`$ (y - y_1)/(y_2 - y_1) = (x - x_1)/(x_2 - x_1) $`.

where:
`$ (x_1,y_1) $` and
`$ (x_2,y_2) $` are the two points on the line.

Given the two points are: (5,21) and (-5,-29).

Substituting in the two point form:

⇒
`$ (y - 21)/(-29 - 21) = (x - 5)/(-5 -5) $`

`$ \implies (y - 21)/(-50) = (x - 5)/(-10) $`

`$ \implies y - 21 = 5x - 25 $`

⇒ 5x + y - 4 = 0