Question

What is the slope intercept form of the line passing through `(1,0)` with a slope of `-2`?

Answer 1

We know the slope is `-2` and we can substitute in the `x` and `y` values of the given point to discover that the equation is `y=-2x+2`.

Explanation:

Slope-intercept form for a line is `y=mx+b` where `m` is the slope and `b` is the y-intercept.

In this case we know the slope is `-2`, so we can substitute that in:

`y=-2x+b`

We are also given one point that we are told is on the line, so we can substitute in its `x` and `y` values:

`0=-2(1)+b`

Rearranging and solving we discover:

`b=2`

so the equation is `y=-2x+2`.