Find the Rate of Change in y=8x-3: Linear Equation Analysis

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

y=8x3 y=8x-3

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Step-by-step video solution

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00:00 What is the rate of change of the function?
00:02 The rate of change of the function is the slope of the function (X coefficient)
00:05 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

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

y=8x3 y=8x-3

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Recognize the standard form of a linear equation.
  • Step 2: Identify the coefficient of x x as the rate of change.

Now, let's work through each step.
Step 1: Recognize that the given equation y=8x3 y = 8x - 3 is in the slope-intercept form y=mx+b y = mx + b , where m m is the slope.
Step 2: In this equation, the coefficient of x x is 8. Therefore, the coefficient 8 8 represents the rate of change or the slope of the line.

Thus, the rate of change for the equation y=8x3 y = 8x - 3 is 8 8 , which corresponds to choice 1.

3

Final Answer

8 8

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

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