Answer :

Slope of the line joining the points (3,– 2)and (–1, a) is .

Slope of the line with end points as (x1,y1) and (x2,y2)

is .

∴

Given .

∴

⇒ 2(a + 2) = –3(–4)

⇒ 2a + 4 = 12

⇒ a + 2 = 6 (Divide by 2 on both the sides)

⇒ a = 6–2 = 4

∴ a = 4

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