Find the equation of the straight lines passing through the following

1.	Find the equation of the straight lines passing through the following pair of points: (0, 0) and (2, - 2)
Answer» Given: ( x₁, y₁) = (0, 0), ( x₂, y₂) = (2, -2) Concept Used: The equation of the line passing through the two points ( x₁, y₁) and ( x₂, y₂). To find: The equation of the straight line passing through a pair of points. Explanation: So, the equation of the line passing through the two points (0, 0) and (2, −2) is The formula used: y - y₁= \(\frac{y_2-y_1}{x_2-x_1} (x-x_1)\) ⇒ y -0 = \(\frac{-2-0}{2-0}(x-0)\) ⇒ y = -x Hence, equation of line is y = -x

Find the equation of the straight lines passing through the following pair of points: (0, 0) and (2, - 2)

Answer»

Given:

( x₁, y₁) = (0, 0), ( x₂, y₂) = (2, -2)

Concept Used:

The equation of the line passing through the two points ( x₁, y₁) and ( x₂, y₂).

To find:

The equation of the straight line passing through a pair of points.

Explanation:

So, the equation of the line passing through the two points (0, 0) and (2, −2) is

The formula used: y - y₁= \(\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

⇒ y -0 = \(\frac{-2-0}{2-0}(x-0)\)

⇒ y = -x Hence, equation of line is y = -x