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A day full of math games & activities. Find one near you.
What is the Equation of the Line that Passes through the Points (−3, 2) and (−5, 8)?
Solution:
Given that, (x1, y1) = (-3, 2) and (x2, y2) = (-5, 8)
The two-point form of a line passing through these two points (x1, y1) and (x2, y2) is:
(y − y1) = [(y2 − y1) (x − x1)] / (x2 − x1)
⇒ (y − y1) (x2 − x1) = (y2 − y1) (x − x1)
Substitute the values of points (x1, y1) and (x2, y2)
(y − 2) ({-5} − {-3}) = (8 − 2) (x − {-3})
(y − 2) (-2) = (6) (x + 3)
-2y + 4 = 6x + 18
6x + 2y + 14 = 0
3x + y + 7 = 0
Hence, the equation of the line that passes through the points (−3, 2) and (−5, 8) is 3x + y + 7 = 0
What is the equation of the line that passes through the points (-3, 2) and (-5, 8)?
Summary:
The equation of the line that passes through the points (-3, 2) and (-5, 8) is 3x + y + 7 = 0.
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