Answer:
D) y = −2/5x
Explanation:
In the equation for a line ...
y = mx +b
the constant 'b' is the y-intercept of the line. The y-intercept is the value of y when x = 0.
The point (0, 0) tells you the y-intercept is 0, or b=0. That reduces the equation to the form ...
y = mx
The value of m is most easily found if you have a point where x=1. In that case, ...
y = 1m
y = m
In the given list of points, there is one that is helpful here: (1, -0.4). That is, the equation for the given points is ...
y = -0.4x
The answer choices are given as fractions, so you must convert -0.4 to the fraction -2/5.
y = -2/5x . . . . describes the given points