Answer:
y = 0.25x
(0, 0) and (10, 2.5)
Step-by-step explanation:
The image of line g is attached below.
Line g passes through the point (0,0) and (10, 5). The slope of line g is gotten using the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{5-0}{10-0}=0.5\ sec/cm[/tex]
Since the third turtle is going to be half as fast as the turtle on line g. Therefore the slope of the line for the third turtle is:
m = 0.5 sec/cm ÷ 2 = 0.25 sec/cm
m = 0.25 cm/sec
Also the third turtle line would pass through the point (0,0). We can get the equation of the third turtle line using:
[tex]y-y_1=m(x-x_1)\\\\y-0=0.25(x-0)\\\\y=0.25x[/tex]
When x = 10, y = 0.25(10) = 2.5
Two points on the third turtle line is (0, 0) and (10, 2.5)
