y - 1 = 0
You might be able to see it a little easier if you add ' 1 ' to each side of the equation:
y = 1
All you need is a bunch of points that have y=1, regardless of what their 'x' is.
Do you want to go ahead and draw some of them and see what happens, or
do you want me to just tell you what you'll get ?
OK. I kind of thought so.
The graph is a straight horizontal line, one unit above the x-axis.
No matter what point on that line you look at, y=1 .
The equation 0 equals 0 is an identity and contributes absolutely nothing to the part of the graph that you should shade or not. The tautological statement can be ignored.
There needs to be an x variable to create a graph.
Rise divided by run. (Y2 - Y1) / (X2 - X1) - with (X1, Y1) and (X2, Y2) being two points on the graph.
Points: (x1, y1) and (x2, y2) Slope: y1-y2/x1-x2
0 5 /--------------/-----•------/
The highest point on a graph is when the derivative of the graph equals 0 or the slope is constant.
The equation 0 equals 0 is an identity and contributes absolutely nothing to the part of the graph that you should shade or not. The tautological statement can be ignored.
There needs to be an x variable to create a graph.
Rise divided by run. (Y2 - Y1) / (X2 - X1) - with (X1, Y1) and (X2, Y2) being two points on the graph.
you need 2 points on the line y2-y1 slope=----- x2-x1
Points: (x1, y1) and (x2, y2) Slope: y1-y2/x1-x2
0 5 /--------------/-----•------/
Select two points on the graph and suppose their coordinates are (x1, y1) and (x2, y2) then the gradient = (y1 - y2) / (x1 - x2) provided that x1 and x2 are different. If not, the gradient is not defined.
Just one. It's at the origin. (0, 0)
When x = 0, the point that has (0, y) coordinates will be on the y-axis for any y.
Slope, m, equals (y2-y1)/(x2-x1). Slope is (0-(-1))/(0-(-1)) or 1/1 or 1.
Press the Y= button and type 'X+2' (not the quotes) next to Y1 (or any other Y will work). Then press GRAPH. (To type X, press the X,T,θ,n button. If you don't see Y1= when you press Y=, press MODE and select FUNC, then try again.)