Question

What is the equation of the following line (4 -3) (0 0)

Answer 1

The answer is D

If you used the slope formula (y2-y1/x2-x1) you would get a slope of -3/4. 

Answer 2

Answer: The correct option is (D) $y=-\dfrac{3}{4}x.$

Step-by-step explanation:  We are given to find the equation of a straight line passing through the points (4, -3) and (0, 0).

We know that the slope of a line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

So, the slope of the given line is

$m=\dfrac{-3-0}{4-0}=-\dfrac{3}{4}.$

Since the line passes through the point (0, 0), so its equation will be

$y-0=m(x-0)\\\\\Rightarrow y=-\dfrac{3}{4}x.$

Thus, the required equation of the given line is $y=-\dfrac{3}{4}x.$

Option (D) is CORRECT.