Question

What is the equation of the line graphed below?y(5,2)O A. y=-2/xOB. y=-J|NC. y = 2/2 X2xO D. y =-55-5

Answer 1

To answer this question we will use the following two points formula for the equation of a line:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1).$

From the given graph we get that the line passes through (0,0) and (5,2), then its equation is:

$y-0=\frac{2-0}{5-0}(x-0).$

Simplifying the above result we get:

$y=\frac{2}{5}x.$

Answer: Option D.