Question

How do you find another point on each line using slope and point given m=3; passes through (-2,4)?

Answer 1

See below.

Explanation:

In order to solve this problem, we will consider the definition of slope. Slope is defined as:

`"Slope"=("change in "y)/("change in "x) = ("rise")/("run")`

Therefore, if we are given a slope of `3`, we can assume that it means a change in `y` of `3` for every change in `x` of `1`.

So, if we want to find another point on the line that `(2,-4)` makes with a slope of `3`, then we can simply add `1` to the `x`, and `3` to the `y`:

`(2,-4)`

`(2 + 1, -4 + 3)`

`(3, -1)`

I hope that helps!