Find the Rate of Change: Analyzing y=-3/8-4x Linear Equation

For the following straight line equation, state what is the rate of change?

y=384x y=-\frac{3}{8}-4x

❤️ 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 What is the rate of change of the function?
00:03 We want to arrange the equation that represents a line
00:06 The rate of change of the function is the slope of the function (X coefficient)
00:10 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

For the following straight line equation, state what is the rate of change?

y=384x y=-\frac{3}{8}-4x

2

Step-by-step solution

To determine the rate of change for the given line equation, we recognize that the equation y=384x y = -\frac{3}{8} - 4x is in the slope-intercept form y=mx+b y = mx + b , where m m is the slope and represents the rate of change.

In the equation provided, the term 4x -4x indicates that the slope or rate of change is m=4 m = -4 .

Thus, the rate of change of the given straight line is 4 -4 .

Comparing this to the provided choices, the correct answer is:

  • Choice id "2": 4 -4

Therefore, the rate of change for the linear equation is 4 -4 .

3

Final Answer

4 -4

Practice Quiz

Test your knowledge with interactive questions

Given the following graph, determine whether function is constant

–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666000

🌟 Unlock Your Math Potential

Get unlimited access to all 18 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