Verified Answer :

TheGhettoPug

the answer is m=-1/2

JoshEast

So slope, aka gradient = (y₂ - y₁) ÷ (x₂ - x₁)

Let y₂ = -4;  y₁ = -3; x₂ = 2; x₁ = 0 [so practically you use the coordinates given
                                                and you assign 1 and 2 to the x and y values ; just
                                                ensuring that 1 and 1 are from the same pair

∴ slope =  ((-4) - (-3)) ÷ (2 - 0)
            
             = 1 ÷ 2 
 
             =  \(\frac{1}{2}\)

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