SOLUTION: Without graphing, identify the slope and the y-intercept -3x + 4y = -4

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Question 224641: Without graphing, identify the slope and the y-intercept

-3x + 4y = -4
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Without graphing, identify the slope and the y-intercept
-3x + 4y = -4

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 + 4y = -4 yields the following steps.

-3x+%2B+4y+=+-4

Add 3x to both sides of the equation

-3x+%2B+4y+%2B3x=+-4%2B3x

4y=3x-4

Divide by 4 to both sides of the equation

4y%2F4=3x%2F4-4%2F4

y=3x%2F4-1

Step 3. Comparing y=3x%2F4-1%2F2 with y=mx%2Bb we have m=3%2F4 and b=-1

Step 4. ANSWER: The slope of line is m=3%2F4 and the y-intercept is b=-1.


I hope the above steps and explanation were helpful.

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Respectfully,
Dr J
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