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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

31062391idn

Answe

y=2x+1

Step-by-step explanation:

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