Question

Please help.

Question 6/10.
What is the equation of the following line?
(check photo for graph)

A. y = -4x
B. y = -1/2x
C. y = -2x
D. y = 1/2x
E. y = -1/4x
F. y = 2x

Answer 1

B

Explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, - 2) ← 2 points on the line

m =
`(-2-0)/(4-0)` =
`(-2)/(4)` = -
`(1)/(2)` , then

y = -
`(1)/(2)` x → B