The Straight Lines — MATHS STD 11 Science — Question
Gujarat BoardEnglish MediumSTD 11 ScienceMATHSThe Straight Lines2 Marks
Question
Using the method of slope, show that the following points are collinear: A(4, 8), B(5, 12), C(9, 28)
✓
Answer
A(4, 8), B(5, 12), C(9, 28) slope of $\text{AB}=\frac{12-8}{5-4}=\frac{4}{1}=4$ slope of $\text{BC}=\frac{28-12}{9-5}=\frac{16}{4}=4$ slope of $\text{CA}=\frac{8-28}{4-9}=\frac{-20}{-5}=4$ Since all 3 line segments have the same slope, they are parallel. Since they have a common point B, they are collinear.
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