Find an Equation of the Line Passing through the given Points. (1, 1), (8, −3).
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, 1), (8, −3) is 4x + 7y = 11.
Let's solve this step by step.
Explanation:
Given: (x1, y1) = (1, 1) and (x2, y2) = (8, -3)
We need to find the slope first.
Slope Formula (m) = (y2 − y1) / (x2 − x1)
Substituting the values,
Slope(m) = (-3 - 1) / (8 - 1)
Slope(m) = -4/7
The point-slope formula states (y − y1) = m (x − x1).
Substituting the values we get,
⇒ (y - 1) = (- 4/7) × (x - 1)
⇒ 7y - 7 = - 4x + 4
⇒ 4x + 7y = 11
⇒ 7y = 11 - 4x