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Slope of the line joining two points (−4,5) and (α,β) must be equal to
β-5 / α+4 =-4/3
4α+3β=−1……(1)
And (α,β) also satisfy the give equation of line.
⇒3α−4β=18……(2)
From 1 and 2
28(α+β)−7β=−7
3(α+β)−7β=18
⇒α+β=−1
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