9514 1404 393
Answer:
see attached
Explanation:
I find the easiest way to draw a graph is to let a graphing calculator do it. That result is shown in the attachment.
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If you're drawing this by hand, it can be easier if it is simplified a bit.
2(x +1) = 3(y -1) -4
2x +2 = 3y -3 -4 . . . . . . eliminate parentheses
2x +9 = 3y . . . . . . . . . . add 7
y = 2/3x +3 . . . . . . . . . divide by 3
This is the equation of the line in slope-intercept form. It tells you that the point (0, 3) on the y-axis is on the line, and that it has a slope of 2/3. That means it has a rise/run of 2/3, or a rise of 2 units for each 3 units to the right.
Starting from point (0, 3), another point on the line will be 3 over and 2 up, at (3, 5). Once you have a couple of points plotted, you can draw the line through them to make your graph.