Question 52254
y= 2/3x -3 [This is in the slope-intercept form of a line: y=mx+b]
y=any value of y on the line
m=the slope of the line
x=any corresponding value of x on the line
b=the y-intercept--where the line crosses the y-axis
.
So, plot the the y=intercept at coordinate point (0, -3). Starting at (0,-3) and using the slope of (+2/+3), move up 2 spaces and move 3 spaces to the right.  Plot this point. Starting over at (0, -3), and using the slope of (-2/-3), move down 2 spaces and 3 spaces to the left.  Plot this point.  Connect the dots for the representation of the line.

.
To find where the line crosses the x-axis, let y=0 and solve for x:
y=2/3x -3
0=2/3x -3
3=2/3x
9/2=x
So, the x-intercept = (9/2, 0)

{{{ graph( 300, 200, -6, 5, -10, 10, (2/3)x -3) }}}