Question 139

If the y-intercept of the straight line (2 + 3k) x + (7 - 2k) y + (4k + 3) = 0 is 1, then k =

Solution

Since y-intercept is 1, so at x = 0 y should be equal to 1.

Substituting x = 0 and y = 1 in the equation,

(2 + 3k)0 + (7 - 2k)1 + (4k + 3) = 0

$$\Rightarrow$$ 7 - 2k + 4k + 3 = 0

$$\Rightarrow$$ 2k = -10

$$\Rightarrow$$ k = -5

Hence, the correct answer is Option D

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