Hello! quick question.

why the line y = -3 is a horizontal line.
describe how this line sits on the Cartesian (coordinate) plane.
I have tried a few thoughts on this. Firstly the horizontal sits on the y intercept. The graph y = b is a horizontal line. -3 is to the left of the origin which is 0. It follows the order of a number line. Negative numbers to the left and positive numbers to the right. This is all I have so far. Did I get close??
Your help is appreciated!!

If you followed a line that has a slant or slope, you'll notice that the

x and y co-ordinate are both changing.
If you followed a vertical line,only the y co-ordinate will change.If you
followed a horizontal line, the x co-
ordinate only will change. The y co-
ordinate will be constant(y = c). Therefore, when x is constant,its' a
vertical line; and when y is constant,
its' a horizontal line.

In your case, y = c = -3, and its' a hor. line. Since y is constant, it re-
mains the same no matter what value
you assign to x.

Use the following points to graph the
Eq.: y = -3.

(-4 , -3) , (-2 , -3) , (0 , -3),
(2 , -3).

I hope this will help.

Thank you Henry

Hello! You're on the right track! Let me explain it to you in more detail.

In the Cartesian plane, each point is represented by an ordered pair (x, y), where x is the horizontal coordinate (abscissa) and y is the vertical coordinate (ordinate). To graphically represent a line, such as y = -3, we need to plot points that satisfy this equation.

For the equation y = -3, it means that the value of y is always -3 regardless of the value of x. So, for any x-coordinate, the corresponding y-coordinate will always be -3. This means that every point on the line will have a y-coordinate of -3.

To plot the line on the Cartesian plane, we can start by plotting some points. For example, let's choose a few x-values (e.g., -5, 0, 5) and find their corresponding y-values:

For x = -5, y = -3.
For x = 0, y = -3.
For x = 5, y = -3.

Plotting these points on the Cartesian plane and connecting them, you'll notice that all the points lie on a straight line that is parallel to the x-axis and passes through the y-coordinate -3. This line represents y = -3.

So, to summarize, the line y = -3 is a horizontal line that sits on the Cartesian plane parallel to the x-axis and passes through the y-coordinate -3. Every point on this line will have a y-coordinate of -3.

I hope that clarifies it for you! Let me know if you have any further questions.