Q. 275.0( 1 Vote )

# If the line passes through the points (2, –3) and (4, –5), then (a, b) is

A. (1, 1)

B. (– 1, 1)

C. (1, – 1)

D. (– 1, –1)

Answer :

Given points are (2, -3) and (4, -5)

Firstly, we find the equation of line.

We know that,

Equation of line when two points are given:

Putting the values, we get

⇒y + 3 = - 1 (x – 2)

⇒ y + 3 = - x + 2

⇒ x + y = 2 – 3

⇒ x + y = - 1

(Intercept form)

Comparing the above equation with the given equation , we get the value of a and b

a = -1 and b = -1

Hence, the correct option is **(d)**

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