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

Answer:

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

Solution:

Given, two points are ($\frac{-1}{2}$ , 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:

$y-y_{1}=\left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\left(x-x_{1}\right)$

Here in our problem, $x_{1}=0, y_{1}=0, x_{2}= \frac{-1}{2} \text { and } y_{2}=3$

Substitute these values in above formula.

$y-0=\left(\frac{3-0}{\frac{-1}{2}-0}\right)(x-0) \rightarrow y=\frac{3}{\frac{-1}{2}} \times x \\\\\rightarrow y=3 \times\left(\frac{-2}{1}\right) \times x \rightarrow y=-6 x$

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