Answer
Step-by-step explanation
The best way to plot graphs, especially straight line graphs, is to use the intercepts. The intercepts are the point(s) that the graph of the function crosses or touches the x and y axis.
The equation is
y = (2/3)x - 2
when x = 0,
y = (2/3)x - 2
y = (2/3)(0) - 2
y = 0 - 2
y = -2
The first point on the graph is (0, -2)
when y = 0,
y = (2/3)x - 2
0 = (2/3)x - 2
(2x/3) = 2
Cross multiply
2x = (2) (3)
2x = 6
Divide both sides by 2
(2x/2) = (6/2)
x = 3
The second point on this graph is (3, 0)
So, the two points are (0, -2) and (3, 0)
We can then easily plot this graph by marking out those two points on the graph and connect the two points for the equation of that line.