Answer:
Option C is correct.
The equation of line graphed is, [tex]y = \frac{1}{2}x[/tex]
Step-by-step explanation:
Point slope form: The straight of line in the form of :
[tex]y-y_1 =m(x-x_1)[/tex] ......[1] where m is the slope.
Consider two points from the given graph:
(0, 0) and (2, 1)
First calculate slope:
Slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the given values we have;
[tex]m = \frac{1-0}{2-0} = \frac{1}{2}[/tex]
Substitute the given values m and (0,0) in [1] we have;
[tex]y-0 =\frac{1}{2}(x-0)[/tex]
Simplify:
[tex]y = \frac{1}{2}x[/tex]
therefore, the equation of line graphed is, [tex]y = \frac{1}{2}x[/tex]
