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Question 662122: The instructions state: Without drawing the graph of the line, determine whether the line is rising or falling from left to right.
The problem is 3x = 4y - 7
The steps I took:
Solve for y method
3x - 3x = 4y - 7 + 7 + 7 - 3x
4y = -3x + 7
4y/4 = -3x/4 + 7/4
y = -3/4x + 7/4
In y = mx +- b, I understand that m is the slope. I also understand that if the slope is positive, the line rises from left to right. If the slope is negative, the line falls from left to right.
I determined that -3/4 is the slope and since it is negative, the line falls from left to right. However, the answer key at the back of the textbook states that it is rising. I would like to know if I did something wrong in the process or if the answer key is incorrect.
Answer by ReadingBoosters(3246)   (Show Source):
You can put this solution on YOUR website! 3x = 4y-7
Add 7 to both sides
3x + 7 = 4y
Divide both sides by 4
3x/4 + 7/4 = 4y/4
Rewrite in a recognizable way
y = 3/4x + 7/4
The slope, 3/4, is rising
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