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

Question

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

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

Video Solution

Solution Steps

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 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

Answer

5