Respuesta :

Genius0843

Answer:

y = 3x + 2

Step-by-step explanation:

First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2

The equation of the line is given by: [tex]y = 3x + 2[/tex]

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The equation of a line, in slope-intercept formula, has the following format:

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

In which

  • m is the slope, that is, how much y changes when x changes by 1.
  • b is the y-intercept, that is, the value of y when x = 0.

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  • Given two points (x,y), the slope is the change in y divided by the change in x.
  • We have points (-1, -1) and (3,11). Thus:

[tex]m = \frac{11 - (-1)}{3 - (-1)} = \frac{12}{4} = 3[/tex]

Then

[tex]y = 3x + b[/tex]

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Point (-1,-1) means that when [tex]x = -1, y = -1[/tex], and we use this to find b.

[tex]y = 3x + b[/tex]

[tex]-1 = 3(-1) + b[/tex]

[tex]b = -1 + 3 = 2[/tex]

Thus

[tex]y = 3x + 2[/tex]

A similar problem is given at https://brainly.com/question/13251894

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