Question

Find the value of b fast


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Answer 1

Answer:

b = -9

Step-by-step explanation:

Given points are A(-2,3) and B(4,b).

Slope of AB = (y₂ - y₁)/(x₂ - x₁)

                    = (b - 3)/(4 + 2)

                    = (b - 3)/6.

Given, Equation of line is 2x - 4y = 5.

⇒ 4y = 2x - 5

⇒ y = (2x - 5)/4

⇒ y = (2x/4) - (5/4)

⇒ y = (1/2)x - (5/4).

On comparing with y = mx + c, we get m = 1/2.

Now,

⇒ (1/2) * (b - 3)/6 = -1

⇒ (b - 3)/12 = -1

⇒ b - 3 = -12

⇒ b = -9.

Therefore, the value of b = -9.

Hope it helps!