Question

What is the equation of the following line

Answer 1

Hope it will help you....

Answer 2

The equation of the line is $y = \frac{-3}{4}x$. (Option D)

Given:

Given two points A(0, 0) and B(4, -3).

To Find:

Equation of the line.

Solution:

The two-point form of a line is used for finding the equation of a line given two points (x1,y1) and (x2,y2) on it.

⇒$y - y1 = \frac{y2 - y1}{x2 - x1} (x-x1)$ --- eq1

Given point (x1, y1) ≡ (0, 0) and (x2, y2) ≡ (4, -3)

Putting these values in eq1 we get:

⇒$y - 0 = \frac{-3-0}{4 -0}(x - 0)$

⇒$y = \frac{-3}{4}x$

Therefore, the equation of the line is $y = \frac{-3}{4}x$.

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