Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Graph two more functions in the same family

Sagot :

absor201

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope-intercept of the line equation is

[tex]y = mx + b[/tex]

where m is the slope and b is the y-intercept

Please note that a linear equation contains no powers of x besides.

For example, the equation of the form

y = 2x+3

has the slope m = 2 and y-intercept b = 3

The graph is shown below.

Let us graph two more functions of the same family by changing the parameter of y-intercept b.

Graphing y = 2x+5

y = 2x + 5

has same slope m = 2. But, the y-intercept b = 5

The graph of y = 2x+5 is attached below.

Graphing y = 2x+7

y = 2x + 7

has same slope m = 2. But, the y-intercept b = 7

The graph of y = 2x+7 is attached below.

Thus, we would have the following graphs of the family of linear functions.

  • y = 2x+3
  • y = 2x + 5
  • y = 2x + 7

Please notice that all the functions have the same slope m = 2. Thus, all the lines would be parallel.

Thus, from the graph, it is clear that:

  • The red line represents the function y = 2x+3 with the y-intercept (0, 3)
  • The blue line represents the function y = 2x+5 with the y-intercept (0, 5)
  • The green line represents the function y = 2x+7 with the y-intercept (0, 7)

The graph is attached below.

View image absor201
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.