Question

How do you write an equation in point-slope form for the given (-4,-1) and (2,-1)?

Answer 1

`y=-1`

Explanation:

Using the point slope formula where slope between two points `=(y_2-y_1)/(x_2-x_1)`, we get:

`(-1+1)/(-4+2)=0`

Now we can use the point slope equation `y-y_1=m(x-x_1)` where m= slope.

Plugging in the numbers we get:
`y-(-1)=0(x-(-4)`

The line is: `y=-1`

*An easier way to do this problem is to first notice that (-4,-1) and (2,-1) lie on the same line already, since both y values equal to -1, meaning there's no slope.

We can graph it out on a calculator or online to see how this works. Here's one that I did on Desmos!