Respuesta :
A linear function with a rate of change of +5 is depicted in the table as m = 13 + 5 = 18.
What is a linear function?
A straight line on the coordinate plane is represented by a linear function.
As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).
We will discover what a linear function is in this article, along with information on its graph, domain, and range.
Additionally, we will learn how to recognize a linear function and how to calculate its inverse.
According to our question-
The graph in the table shows a linear function.
The linear function's general equation is y = ax+b, where a denotes slope and b denotes a constant.
Finding the equation of the linear function at x = 3 y = 13 and at x = 5 y = 23 13 = 3a+b by utilizing the first and third points from the table (1)
23 = 5a+b → (2) find a and b by resolving (1) and (2)
Consequently, a = 5 and b = -2; y = 5x – 2
After then, the equation of y = y = 5*4-2 = 18 was changed by substituting x = 4 in it.
m = 18
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