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)