Question

How do you write an equation in point slope form for the line with the given slope m=-2 and passes through the given point (0,1)?

Answer 1

If a straight line passes through a point `(a,b)` then the slope of that line is
`(y-b)/(x-a)`

In this case we are told that the point is `(0,1)` and that the slope is `m=-2`

So
`(y-1)/(x-0) = -2`

`rarr y-1 = -2x`

`rarr y = -2x + 1` (in slope-intercept form)