Answer:
[tex]y=\frac{4}{5}x[/tex]
Step-by-step explanation:
Equations in the given options are linear, so the table given represent a linear function.
Let the equation of the linear function is,
y = mx + b
Since this equation passes through (0, 0),
0 = m(0) + b
b = 0
Therefore, equation of the line will be,
y = mx
Slope of the line passing through (10, 8) and (5, 4),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{8-4}{10-5}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, equation of the line will be,
[tex]y=\frac{4}{5}x[/tex]
Option (2) will be the answer.
