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what is the rate of change for y= -3x​

Sagot :

Answer:

  • - 3

Step-by-step explanation:

Given line:

  • y = -3x

The rate of change is the slope, which is - 3

Answer:

[tex] \frac{y}{x} = m = \tan( \theta) \\ \boxed{y = \tan( \theta) x} \\ \boxed{y = mx}[/tex]

where, m and tan∅ is the slope of the line

Here, the rate of change for line y = -3x is the slope of the given line

Comparing the above equation with y = -3x, we get

[tex] \tan( \theta) = - 3 \\ m = - 3 \\ \boxed{\frac{y}{x} = - 3}[/tex]

Therefore, -3 is the rate of change for y = -3x

  • -3 is the right answer.