Answer:
[tex]y = - 4x + 16[/tex]
Step-by-step 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
[tex](y - y1) = \frac{y2 -y1}{x2 -x1}\times (x- x1)[/tex]
So on substituting the given values in it we get
[tex](y - 1) = \frac{9 -1}{2 -4}\times (x- 4)[/tex]
[tex](y - 1) = \frac{8}{-2}\times (x- 4)[/tex]
[tex](y - 1) = -4\times (x- 4)[/tex]
[tex]y - 1 = -4x +16\\y = -4x +16 + 1\\y = -4x + 17[/tex]
which is the required equation i.e
[tex]y = -4x + 17[/tex]
