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Answer:
Option 1: y + 5 = ½(x - 2)
Step-by-step explanation:
First, you need to find the slope. the formula to find the slope from two points is [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] and if you plug in the points it will be [tex]\frac{-4 - (-5)}{4 - 2}[/tex] which is [tex]\frac{1}{2}[/tex].
point-slope form is [tex]y - y_{1} = m(x - x_{1})[/tex]. m is slope and x₁ and y₁ is (2, -5).
plugging in the numbers will be y + 5 = ½(x - 2)