Mathematics
Find the equation of the line passing through the point (2, -5) and making an intercept of -3 on the y-axis.
Straight Line Eq
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Answer
Let the equation be y = mx + c, where c is the y-intercept and m is the slope.
Since, the line passes through the point (2, -5) hence, the point must satisfy the equation,
⇒ -5 = 2m - 3
⇒ -5 + 3 = 2m
⇒ 2m = -2
⇒ m = -1.
Putting value of m and c in y = mx + c,
⇒ y = -x - 3
⇒ x + y + 3 = 0.
Hence, the equation of the line is x + y + 3 = 0.
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