Question

What is the equation in point-slope form of the line that passes through equation in the given points (4,1) and (-2,7)?

Answer 1

`y - 1 = -(x-7)`

Here's how I did it:

Explanation:

Point-slope form is shown here:

As you can see, we need to know the value of the slope and one point value.

To find the slope, we use the formula `("change in y")/("change in x")`, or `(y_2-y_1)/(x_2-x_1)`.

So let's plug in the value of the points:
`(7-1)/(-2-4)`

Now simplify:
`6/-6`

`-1`

The slope is `-1`.

Since we have the value of two points, let's put one of them into the equation:
`y - 1 = -(x-7)`

Hope this helps!