QQuestion
The points A(x, y), B(3, −2) and C(4, −5) are collinear. Then y in terms of x is:
(a) 3x − 11
(b) 11 − 3x
(c) 3x − 7
(d) 7 − 3x
ICSEClass 10MathematicsEquation Of Straight Line01 Mark2024 Moderate
✓Answer
(d) 7 − 3x
Explanation:
Since A, B and C are collinear:
Slope of AB = Slope of BC
\frac{-2-y}{3-x}=\frac{-5-(-2)}{4-3}⇒ \frac{-2-y}{3-x}=\frac{-3}{1}
⇒ −2 − y = −3(3 − x)
⇒ −2 − y = −9 + 3x
⇒ −y = −7 + 3x
⇒ y = 7 − 3x
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