Find the Rate of Change in y=5x+4: Linear Equation Analysis

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

y=5x+4 y=5x+4

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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=5x+4 y=5x+4

2

Step-by-step solution

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

  • Step 1: Understand the equation format
  • Step 2: Identify the slope from the equation
  • Step 3: Match the slope to the given choices

Now, let's work through each step:
Step 1: The equation y=5x+4 y = 5x + 4 is in the slope-intercept form y=mx+b y = mx + b , where m m is the slope.
Step 2: From the equation, the slope m m is the coefficient of x x , which is 5. This represents the rate of change for this line.
Step 3: Among the choices, the correct choice representing the rate of change is 5.

Therefore, the solution to the problem is 5 5

3

Final Answer

5

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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