Question

Which graph represents a linear function?

Answer 1

Please check the explanation below.

Explanation:

Note: As you forgot to mention the graphs of a linear function. But, let me clear your concept with an example of a linear function.

We know that linear function is of the form

y = mx+b

where

• m is the slope

• b is the y-intercept

We know that the graph of a linear function is a straight line because the highest power of the exponent of the x variable is 1.

Thus, y = mx+b represents a straight line.

For example,

Let the linear function

y = 2x+3

comparing with the linear function of the form y = mx+b

• The slope = m = 2

• The y-intercept b = 3

As the highest power of the exponent of a variable is 1, therefore y = 2x+3 represents a straight line.

The graph of the linear function y = 2x+3 is also attached below.