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# 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: (x_{1}, y_{1}) = (-1, 5) and (x_{2}, y_{2}) = (1, 3)

Let's calculate the slope below,

According to the Slope Formula,

(m) = (y_{2} − y_{1}) / (x_{2} − x_{1})

Substituting the values,

Slope(m) = (3 - 5) / (1 - (-1))

m = -2/2

m = -1

The point-slope formula states (y − y_{1}) = m (x − x_{1}).

Substituting the values of (x_{1}, y_{1}) = (-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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