Find the value of b so that the graph of bx + 5y = 8 has the slope of 4.algebra review

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ncchemist | eNotes Employee

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First we need to put the equation in slope intercept form shown below:

y=mx+b

where m is the slope and b is the y-intercept.  We will isolate the y variable as shown below:

bx+5y=8

5y=-bx+8

y=(-b/5)x+8/5

So in the above equation the slope is equal to (-b/5).  Since we are looking for a slope of 4 we will set it equal to 4 and solve for b:

(-b/5)=4

-b=20

b=-20

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