Question

Quickly, what's the answer to this​

Answer 1

`y = - 4x + 16`

Explanation:

Given:

Two points

(4,1) say(x1,y1) and

(2,9) say(x2,y2)

Solution:

Formula for Equation for a line passing through a points (x1,y1) and (x2,y2) is given below

`(y - y1) = (y2 -y1)/(x2 -x1)* (x- x1)`

So on substituting the given values in it we get

`(y - 1) = (9 -1)/(2 -4)* (x- 4)`

`(y - 1) = (8)/(-2)* (x- 4)`

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

`y - 1 = -4x +16\\y = -4x +16 + 1\\y = -4x + 17`

which is the required equation i.e

`y = -4x + 17`