00:01
This problem gives us a linear function and wants us to determine what the equation for this function would be.
00:06
And since we're trying to create a linear function, the form we're going to use is f of x equals mx plus b or y equals mx plus b.
00:14
And that allows us to just look for the slope and the y intercept to be able to write our function.
00:18
And one point we are already given is the y intercept because we can see what we're crossing the y axis and that's at zero negative one.
00:26
So that plus b can we replace with negative 1 already.
00:30
And one method to find the slope is to use the slope formula, which is y2 minus y 1 of x2 minus x1, and we have points where we could do that.
00:38
But since we're given the y intercept, we can also treat this f of x like y, and say y is equal to mx minus 1, and then use one of these sample points that we can find on the graph where it looks like we're going through whole numbers to plug in a sample x and y to then solve for the slope.
00:56
I'm going to use 6 negative 6 to plug in.
00:58
So negative 6 for y times the slope we're trying to find times the x value is 6 that gave us that negative 6 for y, and then minus the 1 we found from the y intercept...