Question

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

A. Y= -3x
B. Y= 1/4x
C. Y= 3x
D. Y= -3/4x
E. Y= -4x
F. Y= -4/3x

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=-(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=(d-b)/(c-a).`

So, the slope of the given line is

`m=(-3-0)/(4-0)=-(3)/(4).`

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

`y-0=m(x-0)\\\\\Rightarrow y=-(3)/(4)x.`

Thus, the required equation of the given line is
`y=-(3)/(4)x.`

Option (D) is CORRECT.