Find the Rate of Change: Analyzing y=x-4 Linear Function

Question

Given the linear function:

y=x4 y=x-4

What is the rate of change of the function?

Video Solution

Step-by-Step Solution

The problem asks to find the rate of change of the linear function y=x4 y = x - 4 . This function is in the form of y=mx+b y = mx + b , where:

  • m m is the slope, representing the rate of change of the function.
  • b b is the y-intercept, but it is not relevant for finding the rate of change.

For the function y=x4 y = x - 4 , we can compare it with the standard form y=mx+b y = mx + b to identify:

m=1 m = 1 .

Therefore, the rate of change of the function is determined by the coefficient of x x , which is 1.

Hence, the rate of change of the function is m=1 m = 1 .

The correct answer is: m=1 m = 1 .

Answer

m=1 m=1