Two students wrote the equations shown below. True or false

Erica. Aliyah
y=-0.5x y=2.5x-8

___ 10. Graphs of both equations will pass through the origin.
___ 11. Only Erica's equation is proportional
___ 12. Both equations have a negative slope.

1 answer

10. False. Erica's equation (y = -0.5x) will pass through the origin, but Aliyah's equation (y = 2.5x - 8) will not pass through the origin.
11. True. Erica's equation (y = -0.5x) is proportional because it can be written in the form y = kx, where k = -0.5.
12. False. Erica's equation (y = -0.5x) has a negative slope, but Aliyah's equation (y = 2.5x - 8) has a positive slope.