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Write the equation of the line that contains the point (-8,6) and has the same slope as the line represented by the table of values below.

Write the equation of the line that contains the point (-8,6) and has the same slope-example-1
User Csbarnes
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1 Answer

21 votes
21 votes

step 1

Find the slope of the line represented by the table of values

take the points

(-8,13) and (-4,5)

m=(5-13)/(-4+8)

m=-8/4

m=-2

step 2

Write the equation of the line that contains the point (-8,6) and has the same slope as the line represented by the table

y=mx+b

we have

m=-2 -----> the same slope of the given line

point (-8,6)

substitute in the equation of the line in slope intercepot form

6=-2*(-8)+b

solve for b

6=16+b

b=-10

therefore

teh equatiion of the line is

y=-2x-10

User Shehbaz Jaffer
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3.1k points