Step-by-step explanation:
The equation of a line is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex] intercept.
We know that the line pass through the point (1,1) and the slope is 2.
[tex]m=2[/tex]
Then,
[tex]y=2x+b[/tex]
We have to find [tex]b[/tex].
If we replace the point (1,1) in [tex]y=2x+b[/tex] we will obtain [tex]b[/tex].
Then,
[tex]y=2x+b\\1=2.1+b\\1=2+b\\1-2=b\\-1=b[/tex]
[tex]y=2x-1[/tex]
The y intercept then is -1, this means that when x=0, y=-1.
We have the point (0,-1).
Now to obtain another point we have to replace [tex]y=2x-1[/tex] with y=0.
[tex]y=2x-1\\0=2x-1\\1=2x\\\frac{1}{2}=x[/tex]
We have the point [tex](\frac{1}{2},0)=(0.5,0)[/tex]
Now that we have to points, we have to place them in the cartesian coordinate system. And then draw the line.
