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

Question

asked Dec 8, 2021 182k views

1 Answer

Khetesh Kumawat · Answer 1 · 2021-12-14T00:35:35+0000

Answer:

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!