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

Given the linear function:

y=x4 y=x-4

What is the rate of change of the function?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the slope of the function
00:04 We'll use the formula to represent a linear function
00:07 We can see that the coefficient of X (M) is the slope of the function
00:14 We'll find the function's slope using the coefficient of X
00:19 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the linear function:

y=x4 y=x-4

What is the rate of change of the function?

2

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 .

3

Final Answer

m=1 m=1

Practice Quiz

Test your knowledge with interactive questions

For the function in front of you, the slope is?

XY

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Linear Functions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations