First, you need to understand that y = 2x - 3 is the slope-intercept form of a line.
Remember from middle/high school algebra that the slope-intercept form of a line is:
y = mx + b
where:
m is the slope of the line
b is the y-intercept of the line
since -8 < -3, the y-intercept moves "down". Since the slope is unchanged, the rest of the line must also move "down".
I will leave the amount that the line moves "down" as an exercise for the reader ;)
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
Just swap the letter around in the formula that you are given!
The graph shifts downward (negative y) by 9 units.
the graph is moved down 6 units
It gets reflected in the x-axis.
35
It rotates the graph about the point (0, b). The greater the value of m, the more steeply it rises to the right.
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.
12
Same way you graph y = -4x - 0.5
Just swap the letter around in the formula that you are given!