Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Complete The Slopeintercept Form Of The Linear Equation That Represents The Relationship In The Table class=

Sagot :

According to the given table, the slope-intercept equation of the line is given by:

[tex]y = -2x + 1[/tex]

The equation of a line, in slope-intercept form, is given by:

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

In which:

  • The slope is m.
  • The intercept is b.

In this problem, we are given two points, (3,-5) and (-2,5).

  • The slope is given by change in y divided by change in x, hence:

[tex]m = \frac{5 - (-5)}{-2 - 3} = -2[/tex]

Hence:

[tex]y = -2x + b[/tex]

Point (3,-5) means that when [tex]x = 3, y = -5[/tex], which is used to find b.

[tex]y = -2x + b[/tex]

[tex]-5 = -2(3) + b[/tex]

[tex]b = 1[/tex]

Hence, the equation of the line is:

[tex]y = -2x + 1[/tex]

A similar problem is given at https://brainly.com/question/24685547

31062391

Answe

y=2x+1

Step-by-step explanation:

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.