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  • 11-10-2021
  • Mathematics
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What is the slope of the line in the xy plane that passes through the points {-5/2 ,1} and {-1/2, 4}?

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mv0386010
mv0386010 mv0386010
  • 11-10-2021

Answer:

m=3/2

Step-by-step explanation:

the line: y=mx+b

This line passes through the points

-> These points (x,y) are on the line

(-5/2,1) : x=-5/2  y=1

1=-5/2m+b                      

(-1/2,4) : x=-1/2    y=4

4=-1/2m+b

We have a system of equation:

1=-5/2m+b

4=-1/2m+b

After solving this, we have m=3/2   b=19/4

-> The slope is 3/2

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