Find the Rate of Change: Analyzing y=14x+13 Linear Function

Given the linear function:

y=14x+13 y=14x+13

What is the rate of change of the function?

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Step-by-step video solution

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00:00 Find the rate of change of the function
00:03 The rate of change is the slope of the function
00:06 We will use the straight line equation
00:10 We will compare and find the slope of the function using the straight line equation:
00:13 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given the linear function:

y=14x+13 y=14x+13

What is the rate of change of the function?

2

Step-by-step solution

To solve this problem, we need to find the rate of change, which is represented by the slope of the linear function.

The function provided is in the form y=mx+b y = mx + b , where m m is the slope. This is known as the slope-intercept form of a linear equation.

Given the equation y=14x+13 y = 14x + 13 , we can directly identify that the coefficient of x x , which is 14, represents the slope m m , or the rate of change of the function.

Therefore, the rate of change, or the slope, of this function is m=14 m = 14 .

3

Final Answer

m=14 m=14

Practice Quiz

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

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