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What is the equation in point-slope form of the line passing through (2, 5) and (–1, 8)?

Question

What is the equation in point-slope form of the line passing through (2, 5) and (–1, 8)?
What is the equation in point-slope form of the line passing through (2, 5) and (–1, 8)?

Answers

The answer is: #y=-x+7#.

Using the formula that gives the equation of a line, given two points #A# and #B#:

#(y-y_A)/(y_B-y_A)=(x-x_A)/(x_B-x_A)#,

so:

#(y-5)/(8-5)=(x-2)/(-1-2)rArr(y-5)/3=(x-2)/-3rArry-5=-x+2rArr#

#y=-x+7#.


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