Question

Z Points

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(-1/2,3)
(0,0)

Answer 1

The equation of the line (-1/2, 3) and (0, 0) is y = -6x

Solution:

Given, two points are (
`(-1)/(2)` , 3) and (0, 0)

We have to find the line equation that passes through the given two points.

Now, we know that, line equation that passes through
`\left(x_(1), y_(1)\right) \text { and }\left(x_(2), y_(2)\right)` is given by:

`y-y_(1)=\left((y_(2)-y_(1))/(x_(2)-x_(1))\right)\left(x-x_(1)\right)`

Here in our problem,
`x_(1)=0, y_(1)=0, x_(2)= (-1)/(2) \text { and } y_(2)=3`

Substitute these values in above formula.

`y-0=\left((3-0)/((-1)/(2)-0)\right)(x-0) \rightarrow y=(3)/((-1)/(2)) * x \\\\\rightarrow y=3 *\left((-2)/(1)\right) * x \rightarrow y=-6 x`

Hence the equation of the line (-1/2, 3) and (0, 0) is y = -6x