How do I find the set of all points of y=-8 on a graph?
Any equation in x and y merely gives you a description of the relationship between the x and y coordinates of the points in a relation.
e.g.
x=y = 6 means that as long as the x and the y of a given point add up to 6, that point belongs.
So in your case it says that y = -8 , with no mention of x.
That means that we don't put any restriction on x and x can be anything we want it to be
as long as our y is -8, anything goes
so some points:,
(1,-8), (5,-8), (-3,-8), (3.56,-8), (√2,-8), (0,-8), ...
4th line should have been
x+y = 6 means that as long as the x and the y of a given point add up to 6, that point belongs.
but you probably guessed that anyway.
Can you please explain to me how you find the points, such as (1,-8) and (-3,-8)are mulitilying, adding, what exactly do I have to do to get this?
As I stated, since there is no x in your equation, x can be any value you want it to be, as long as the y value is -8.
so I just made up any x I could think of.
There is no mathematical operation involved at all, since all it said that y = -8 or
"the y value has to be -8"
To find the set of all points of y = -8 on a graph, you need to plot all the points that have a y-coordinate of -8. Here's how you can do it step by step:
1. Set up a coordinate system with horizontal and vertical axes.
2. On the vertical axis, locate the point where y = -8. This will be a horizontal line parallel to the x-axis at the level of -8.
3. Draw a straight line that extends horizontally across the entire graph, passing through -8 on the y-axis. This line represents the set of all points where y = -8.
Alternatively, if you have a specific graph or equation, you can replace y with -8 and solve for x. This will give you the x-coordinates of all the points that, when plugged into the equation, will yield y = -8.