Question

Graph the line through point (1,1) with slope 2.

Answer 1

Explanation:

The equation of a line is
`y=mx+b`, where
`m` is the slope and
`b` is the
`y` intercept.

We know that the line pass through the point (1,1) and the slope is 2.

`m=2`

Then,

`y=2x+b`

We have to find
`b`.

If we replace the point (1,1) in
`y=2x+b` we will obtain
`b`.

Then,

`y=2x+b\\1=2.1+b\\1=2+b\\1-2=b\\-1=b`

`y=2x-1`

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
`y=2x-1` with y=0.

`y=2x-1\\0=2x-1\\1=2x\\(1)/(2)=x`

We have the point
`((1)/(2),0)=(0.5,0)`

Now that we have to points, we have to place them in the cartesian coordinate system. And then draw the line.