Answer:
y=3x
Step-by-step explanation:
The equation of a line can be written as 'y=mx+b', where 'm' is the slope, 'b' is a number, and 'x' and 'y' represent the 'x' and 'y' co-ordinates of any point on the line.
To find the slope m, take two points (x₁,y₁) and (x₂,y₂) and use the formula
m= (y₂-y₁)/(x₂-x₁)
Our points are (1,3) and (2,6):
(6-3)/(2-1)=3/1=3
Now that we have found the slope, we can write the equation as
y=3x+b
To find b, sub in a point:
9=3(3)+b
9=9+b
b=0
So our equation is y=3x
