Given :
m=1/2 and the point on the line is (0,0).
The equation of the line is
[tex]y=mx+b[/tex]
where m is slope and b is y itercept.
The y-intercept is the point where the lie crosses the y-axis.
(0,0) is the y-intercepet point.
we get b=0.
Substitute m=1/2 and b=0 in the line equation, we get
[tex]y=\frac{1}{2}x+0[/tex]
The line equation is
[tex]y=\frac{1}{2}x[/tex]
Similarly, replacing m=-1/-2 and b=0 in the line equation, we get
[tex]y=\frac{-1}{-2}x[/tex]
Set x=0, we get
[tex]y=\frac{-1}{-2}(0)[/tex]
We get the point (0,0).
Set x=2, we get
[tex]y=\frac{-1}{-2}(2)[/tex][tex]y=1[/tex]
We get the point (2,1).
Set x=-2, we get
[tex]y=\frac{-1}{-2}(-2)[/tex]
[tex]y=-1[/tex]
We get the point (-2,-1).
Mark th epoints (0,0), (2,1) and (-2,-1).
Join all the points by ray.
we get the same line.
Hence we get that
[tex]m=\frac{1}{2}=\frac{-1}{-2}[/tex]
