Entry Test MCQs # 1 – Mathematics

Asif Khan

21 hours ago

NEDUET Entry Test MCQ

Find the equation of line L₂ which is parallel to L₁ (having a slope of −2) and passes through the point (0, 4).

(A) y = 2x + 4
(B) y = −2x + 4
(C) y = −2x − 4
(D) y = ½x + 4

Correct Answer: (B) y = −2x + 4

Explanation:
Parallel lines always have the same slope. Since line L₁ has slope −2, the slope of line L₂ will also be −2. The general equation of a line is:

y = mx + c
where:

m = slope
c = y-intercept

The line passes through the point (0,4). When x = 0, the value of y = 4. Therefore the y-intercept c = 4. Substitute values:

y = −2x + 4

Hence, the correct answer is (B) y = −2x + 4.