Maths-
General
Easy
Question
A line passes through point (3, 1) and has slope = -2/3. Find its equation .Application
Hint:
Equation of a line in slope point form-
(y-y1) = m × (x-x1)
The correct answer is: ∴ y = -2/3 x + 3 is the equation of the given line.
Step-by-step solution:-
As per given information-
The given line passes through the point (3,1) and has a slope of -2/3.
∴ x1 = 3, y1 = 1 & m = -2/3
Using Slope point form of a line, we can find the equation of the given line as-
(y-y1) = m × (x-x1)
∴ y - 1 = -2/3 × (x - 3)
∴ y - 1 = -2/3 x - (-2/3) × 3
∴ y - 1 = -2/3 x - (-2)
∴ y - 1 = -2/3 x + 2
∴ y = -2/3 x + 2 + 1
∴ y = -2/3 x + 3
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