Q27 of 59 Page 178

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

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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