Answer: Equation of a line passes through (0,0) and (2,8): [tex]y=4x[/tex]
Equation of a line passes through (0,0) and (4,2): [tex]y=\dfrac{1}{2}x[/tex]
Equation of a line passes through (0,0) and (2,10): [tex]y=5x[/tex]
Step-by-step explanation:
Equation of a line passes through (a,b) and (c,d) : [tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Then, Equation of a line passes through (0,0) and (2,8):
[tex](y-0)=\dfrac{8-0}{2-0}(x-0)\\\\\Rightarrow\ y=4x[/tex]
Equation of a line passes through (0,0) and (4,2):
[tex](y-0)=\dfrac{2-0}{4-0}(x-0)\\\\\Rightarrow\ y=\dfrac{1}{2}x[/tex]
Equation of a line passes through (0,0) and (2,10):
[tex](y-0)=\dfrac{10-0}{2-0}(x-0)\\\\\Rightarrow\ y=5x[/tex]
