hamadalkitbie
hamadalkitbie hamadalkitbie
  • 31-07-2018
  • Mathematics
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The equation of the line passing through the points (-1, 8) and (3, 16) can be expressed as y = mx + b. Give the value of b.

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FelisFelis FelisFelis
  • 31-07-2018

To, find b, let us find m first

Formula of slope, m=[tex] \frac{y2-y1}{x2-x1} [/tex]

where, (x1,y1)=(-1,8) and (x2,y2)=(3,16)

m=[tex] \frac{16-8}{3-(-1)} =\frac{8}{3+1} =\frac{8}{4} =2 [/tex]

m=2

Plugging m=2 and (x,y)=(-1,8) in y=mx+b

8=2*-1+b

8=-2+b

Adding 2 on both sides

b=10

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