SOLUTION: 3x+5y=11 in the form of y=mx+b

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Question 227093: 3x+5y=11 in the form of y=mx+b
Answer by drj(1380) About Me  (Show Source):
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3x+5y=11 in the form of y=mx+b

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 2. Solving for y in 3x+5y=11 yields the following steps.

3x%2B5y=11

Subtract 3x from both sides of the equation

3x%2B5y-3x=11-3x

5y=-3x%2B11

Divide by 5 to both sides of the equation

5y%2F5=-3x%2F5%2B11%2F5

y=-3x%2F5%2B11%2F5

Step 4. Comparing y=-3x%2F5%2B11%2F5 with y=mx%2Bb we have m=-3%2F5 and b=11%2F5

Step 5. ANSWER: The equation in slope-intercept form is y=-3x/5+11/5.

I hope the above steps and explanation were helpful.

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