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What is an equation of the line that passes through the points (8, 2)and (7,1)

 Mar 16, 2021
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the slope-intercept form for any line is y = mx + b, where m is the slope and b is the y-intercept.

 

now, let's calculate the slope:

 

\(\frac{1-2}{7-8}\)

\(\frac{-1}{-1} = 1\)

 

here is the equation we currently have solved: y = x + b

 

now we have to solve for the y-intercept. to do this, we substitute one of the given points into the equation, and solve for b.

 

let's use (8, 2). in this ordered pair, the 8 is the x, and the 2 is the y.

 

2 = 8 + b

2 - 8 = b

b = -6

 

and now we have our final equation! 

 

y = x - 6

 

hope this helped! please let me know if you are confused about anything i did smiley

 Mar 16, 2021

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