Answer:
[tex]y=2x-3[/tex]
Step-by-step explanation:
When given the slope and a point and we are asked to find the equation of the line, we can use the point-slope form.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:
[tex]y-1=2(x-2)[/tex]
Distribute the right:
[tex]y-1=2x-4[/tex]
Add 1 to both sides:
[tex]y=2x-3[/tex]
And that's our equation.
And we're done!
