Respuesta :

KeianaLol25

Answer:

y = -2x + 3

Step-by-step explanation:

Lets just put the three points together.

(-1, 5) (-4, 11) (-7, 17)

First let's find the slope with y2 - y1/x2 - x1

Plug in using (-1, 5) and (-4, 11)

11 - 5/-4 + 1 = 6/-3 (simplify)

-2 is the slope

Now plug in (-7, 17) in the equation to get b or the y-intercept)

y = mx + b

17 = -2(-7) + b

17 = 14 + b (subtract 14 on both sides)

3 = b

y = -2x + 3

MrRoyal

The equation of the line that passes through the points in the table is:[tex]y = -2x +3[/tex]

The line passes through the following points

x (-1, -4, -7)

y (5, 11, 17)

Start by calculating the slope (m) of the line

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{17 - 11}{-4+1}[/tex]

Evaluate the differences

[tex]m = \frac{6}{-3}[/tex]

Evaluate the quotient

[tex]m = -2[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) +y_1[/tex]

This gives

[tex]y = -2(x+1) +5[/tex]

Open the brackets

[tex]y = -2x-2 +5[/tex]

Evaluate the like terms

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

Hence, the equation of the line is:[tex]y = -2x +3[/tex]

Read more about linear equations at:

https://brainly.com/question/14323743

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