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A day full of math games & activities. Find one near you.
A Line Passes through (−1, 5) and (1, 3). Which Answer is the Equation of the Line?
We will be using the concept of the Point-Slope Form of a line to solve this.
Answer: The Equation of the Line Passing through the given Points (-1, 5), (1, 3) is x + y = 4.
Let's solve this step by step.
Explanation:
Given: (x1, y1) = (-1, 5) and (x2, y2) = (1, 3)
Let's calculate the slope below,
According to the Slope Formula,
(m) = (y2 − y1) / (x2 − x1)
Substituting the values,
Slope(m) = (3 - 5) / (1 - (-1))
m = -2/2
m = -1
The point-slope formula states (y − y1) = m (x − x1).
Substituting the values of (x1, y1) = (-1, 5) and m = -1, we get,
(y - 5) = -1 × (x - (-1))
⇒ y - 5 = - x - 1
⇒ x + y = 4
Hence, the equation of the line passing through the given points (-1, 5), (1, 3) is x + y = 4.
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