Pls Help! Which equation matches the given points? (0, 0), (1, −0.4), (2, −0.8), (3, −1.2), (4, −1.6)

A) y = −7/5x + 7.6
B) y = −7/5x
C) y = −2/5x + 7.6
D) y = −2/5x

  D) y = −2/5x

Step-by-step 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