sharris123
sharris123 sharris123
  • 24-10-2018
  • Mathematics
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What is the equation of the line shown in this graph

What is the equation of the line shown in this graph class=

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Gasaqui
Gasaqui Gasaqui
  • 14-08-2019

Answer:

y=-2x+4

Step-by-step explanation:

The equation of the line is:

y=mx+b

m= slope= (y2-y1)/(x2-x1)

we have two points giver from the graph:

point 1: (1,2)

point 2: (4,-4)

we to find the slope:

m=(-4-2)/(4-1)

m=-6/3

m=-2

we need to find "b"

using the point (1,2)

we have:

2=-2*(1)+b  

2=-2+b

so we have b=2+2=4

finally we have that the answer is:  

y=-2x+4

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