00:01
In this problem, we're asked to construct a table of solutions and then graph this equation.
00:06
Y equals 3x plus 1.
00:09
Now, when constructing tables of solutions, what we want to do is choose x values that are close to are equal to 0, and then plug those into the given equation to solve for y.
00:21
What that will give us is an x and a y value, which gives us an entire point to plot on our graph.
00:29
So, the numbers will choose for this problem, for this example will be negative 1, 0, and 1.
00:37
Choosing these numbers makes it easier to solve for y, because they're small numbers to work with when we are plugging them in.
00:46
So, starting with x equals negative 1, what we'll do to plug that in is replace all the x's in this equation with negative 1.
00:54
So y is equal to 3x or negative 1 plus 1.
01:02
And now we'll simplify y is equal to negative 3 plus 1.
01:08
And finally, y is equal to negative 2.
01:12
So for our first point, our y component will be negative 2.
01:16
So our whole point will be negative 1 comma negative 2 as plotted here.
01:23
For our next point, we will plug in x equals 0.
01:27
So y is equal to 3x or 3 times 0 plus 1...