Answer:
Point Slope Form: [tex]y-0=2(x-0)[/tex]
Simplified Form: [tex]y=2x[/tex]
Step-by-step explanation:
The point-slope form of line is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where
m is the slope
[tex]x_1[/tex] is the first x-coordinate
[tex]y_1[/tex] is the first y-coordinate
Given slope is 2, thus we can say:
m = 2
Also, it says the line goes through the point (0,0), so:
[tex]x_1=0[/tex]
and
[tex]y_1=0[/tex]
Now, substituting, we get the point slope form to be:
[tex]y-y_1=m(x-x_1)\\y-0=2(x-0)\\y=2(x)\\y=2x[/tex]
That's the answer.
