Question

How do you write an equation of the line that passes through the point (2, 1) and has slope 5 in point-slope form?

Answer 1

The point-slope equation of the line that passes through the point `(2,1)` and has the slope `5`, is `y-1=5(x-2)`.

The generic equation for point-slope form is `y-y_1=m(x-x_1)`, where `m` is the slope and `x_1` and `y_1` are the given point.

For this equation, `m=5`, `x_1=2`, and `y_1=1`.

The equation in point-slope form is:

`y-1=5(x-2)`