Respuesta :

Answer:

D. y = ½x + 7⁄2

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex]\frac{-3 + 1}{1 - 5} = \frac{-2}{-4} = \frac{1}{2}[/tex]

Plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula since you get it done faster that way. It does not matter which ordered pair you choose:

1 = -½[5] + b

-2½

3½ = b

y = ½x + 7⁄2

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3 = ½[-1] + b

-½

3½ = b

y = ½x + 7⁄2

* You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

** 3½ = 7⁄2