Question

Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2

Answer 1

The point-slope form is
`y+1=2(x-6)`.

Explanation:

Point-slope is a specific form of linear equations in two variables.

`y-b=m(x-a)`

When an equation is written in this form,
`m` gives the slope of the line and
`(a, b)` is a point the line passes through.

We know that the line passes through (6, -1) with a slope of 2. Well, we simply plug
`m=2`,
`a=6`, and
`b=-1` into point-slope form.

The point-slope form is:

`y+1=2(x-6)`