Question

Write an equation that has a slope of 2 and goes through the point (2, 1).

Answer 1

`y=2x-3`

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:

`y-y_1=m(x-x_1)`

Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:

`y-1=2(x-2)`

Distribute the right:

`y-1=2x-4`

Add 1 to both sides:

`y=2x-3`

And that's our equation.

And we're done!