Question

Question 10 of 10

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
5
(-3,1)
(0,0)
5
-5
O A. y=-x
O B. y= 3x
O C. y=1
Х
O D. y= x
O E. y=-3x
O F. y = x

Answer 1

9514 1404 393

Answer:

D. y = -1/3x

Explanation:

The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...

k = y/x . . . . . divide the above equation by x

For the given point (x, y) = (-3, 1), the value of k can be seen to be ...

k = 1/-3 = -1/3

Then the equation for the line is ...

y = -1/3x . . . . matches D