SOLUTION: Decide whether the three points lie on the same line. If the points do lie on the same line, write an equation of the line that passes through all three points (10, 8), (14, 10),

Algebra ->  Linear-equations -> SOLUTION: Decide whether the three points lie on the same line. If the points do lie on the same line, write an equation of the line that passes through all three points (10, 8), (14, 10),       Log On


   

Question 215956: Decide whether the three points lie on the same line. If the points do lie on the same line, write an equation of the line that passes through all three points
(10, 8), (14, 10), (17, 12)
A. Yes, y = 1/2 x + 3
B. Yes, y = 1/2 x - 4
C. No
D. Yes, y = 2/3 x + 15/14












Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Decide whether the three points lie on the same line. If the points do lie on the same line, write an equation of the line that passes through all three points
(10, 8), (14, 10), (17, 12)
A. Yes, y = 1/2 x + 3
B. Yes, y = 1/2 x - 4
C. No
D. Yes, y = 2/3 x + 15/14
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C. No
The y values differ by 2 - 8, 10, 12
The x values are not evenly spaced - 10, 14, 17
So they're not colinear.