Question 224641
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 + 4y = -4}}}


Add 3x to both sides of the equation


{{{-3x + 4y +3x= -4+3x}}}


{{{4y=3x-4}}}


Divide by 4 to both sides of the equation


{{{4y/4=3x/4-4/4}}}


{{{y=3x/4-1}}}


Step 3.  Comparing {{{y=3x/4-1/2}}} with {{{y=mx+b}}}  we have {{{m=3/4}}} and {{{b=-1}}}


Step 4.  ANSWER:  The slope of line is {{{m=3/4}}} and the y-intercept is {{{b=-1}}}.



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