The equation of line connecting two points (1,9),(0,0) will be y=9x.
How to estimate the equation of line?
The equation of line from two given points passing through the line can be estimated by using the given formula as:
if (x₁,y₁) and (x₂,y₂) be the coordinate of the two point, then the equation of the line passing through those two points will be
(y-y₁)/(x-x₁)=(y₂-y₁)/(x₂-x₁)
Here, the two points are given by (1,9) and (0,0)
x₁=1 , y₁=9
x₂=0 , y₂=0
Then the equation of the line passing through those two points will be
(y-y₁)/(x-x₁)=(y₂-y₁)/(x₂-x₁)
putting the coordinate of points in the above formula, the equation will be
(y-9)/(x-1)=(9-0)/(1-0)
⇒(y-9)/(x-1)=9/1
⇒(y-9)/(x-1)=9
⇒y-9=9(x-1)
⇒y-9=9x-9
⇒y=9x-9+9
⇒y=9x
Therefore The equation of line connecting two points (1,9),(0,0) will be y=9x.
Learn more about the equation of line
here: https://brainly.com/question/19417700
#SPJ2
