Changing the equation from (4x + 2y = 12) to (4x + 2y = 36) will affect the position of the line on the graph. Specifically, the new equation represents a line that is parallel to the original line but shifted upwards. This is because both equations have the same slope, but the y-intercept changes, resulting in a higher intercept on the y-axis for the new equation. Thus, the line will intersect the y-axis at (y = 18) instead of (y = 6).
the graph is moved down 6 units
I guess you mean 4x + 2y = 12 is changed to 4x + 2y = 36. The graph is translated (shifted) up the 7 axis by 24.
The starting point on the y-axis changes from -2 to 6.
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.
Same way you graph y = -4x - 0.5
the graph is moved down 6 units
I guess you mean 4x + 2y = 12 is changed to 4x + 2y = 36. The graph is translated (shifted) up the 7 axis by 24.
It keeps the same shape and size, but the whole thing rises four units on the paper, as if by magic.
The diagonal line collapses into a single point on that line.
35
The starting point on the y-axis changes from -2 to 6.
The equation 2x - 3y = 6 is a linear equation and a linear equation is always has a straight line as a graph
The equation has no slope. The graph of the equation is a straight line with a slope of -1 .
That's not an equation, so there's nothing to graph. Simple way to tell: There's no "equals" sign in it.
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.
A linear equation ?
The slope of the graph of that equation is -1.