Answer:
Equation of the line is y = 5x
Step-by-step explanation:
Given Points of the line are ( 2 , 10 ) and ( 0 , 0 )
We need to find the equation of the line.
Since we given with two point. We use Two-Point form of the line.
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, using this form we get
[tex]y-0=\frac{10-0}{2-0}(x-0)[/tex]
[tex]y=\frac{10}{2}x[/tex]
[tex]y=5x[/tex]
OR
[tex]y-10=\frac{0-10}{0-2}(x-2)[/tex]
[tex]y-10=\frac{-10}{-2}(x-2)[/tex]
[tex]y-10=5(x-2)[/tex]
[tex]y=5(x-2)+10[/tex]
Therefore, Equation of the line is y = 5x
