SOLUTION: Graph the equation using slope and y-intercept 7y+4x=7

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Question 224773: Graph the equation using slope and y-intercept
7y+4x=7
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the equation using slope and y-intercept

7y%2B4x=7

Step 1. Need to put above line in slope intercept form given as y=mx+b where m is the slope and b is the y-intercept b when x=0 or at point (0,b).

Step 3. Solving for y in 7y%2B4x=7 yields the following steps.
7y%2B4x=7

Subtract 4x from both sides of the equation

7y%2B4x-4x=7-4x

7y=-4x%2B7

Divide by 7 to both sides of the equation

7y%2F7=-4x%2F7%2B7%2F7

y=-4x%2F7%2B1

Step 4. Comparing y=-4x%2F7%2B1 with y=mx%2Bb we have the slope m=-4%2F7 and y-intercept b=1 when x=0 or y-intercept is at (0,1)

Step 5. Starting with (0,1) we move seven units to the right and four units down since this is a slope of -4/7. Thus, the other point is (0+7,1-4) or (7,-3)

Step 6. ANSWER: The graph is shown below using the points (0,1) and (7,-3)

graph%28400%2C400%2C+-10%2C10%2C+-10%2C+10%2C+-4x%2F7%2B1%29

I hope the above steps and explanation were helpful.

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And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV