1) Graph of y = - (3/2)x + 2
That is a straightline with slope -3/2 and y-intercept 2
If you do not know how to graph it, you can make a table like this:
x y = (-3/2)x + 2
-1 3/2 + 2 = 7/2
0 0 + 2 = 2
2 - 3 + 2 = -1
4 - 6 + 2 = - 4
2) Graph of y = 3x - 7
That is a straight line with slope 3 and y intercept -7
If you do not know how to graph it you can make a table like this:
x y = 3x - 7
-1 - 3 - 7 = - 10
0 0 - 7 = - 7
1 3 - 7 = - 4
2 6 - 7 = - 1
3 9 - 7 = 2
3) When you draw the two lines you will see that the intersect at x = 2, with the correspondant y = - 1.
That point of intercection is the solutions of the system (2, -1)
