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A day full of math games & activities. Find one near you.
Passing through the points (-1, 1) and (2, -4)
Solution:
It is known that the equation of the line passes through points (x1, y1) and (x2, y2) is
y - y1 = [(y2 - y1 / (x2 - x1] ( x - x1)
Therefore, the equation of the line passing through the points (- 1, 1) and (2, - 4) is
( y - 1) = [(- 4 - 1)/(2 + 1)] ( x + 1)
( y - 1) = (- 5/3) ( x + 1)
3( y - 1) = - 5( x + 1)
3y - 3 = - 5x - 5
5x + 3y + 2 = 0
Hence, the equation of the line is 5x + 3y + 2 = 0
NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.2 Question 7
Passing through the points (-1, 1) and (2, -4)
Summary:
The equation of the line passing through the points (-1, 1) and (2, -4) is 5x + 3y + 2 = 0
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