SOLUTION: http://www.usatestprep.com/modules/gallery/files/5/563/563.png Which of the sets of points lies on the line graphed here? A) {(0, 0), (1, 1), and (2, 2)} B) {(1, 1), (1, 2)

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Question 1000419: http://www.usatestprep.com/modules/gallery/files/5/563/563.png
Which of the sets of points lies on the line graphed here?
A)
{(0, 0), (1, 1), and (2, 2)}
B)
{(1, 1), (1, 2), and (2, 3)}
C)
{(0, 0), (-1, 1), and (1, 2)}
D)
{(0, 0), (-1, 1), and (1, -1)}

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

answer is:
D)
{(,), (, ), and (, )}
check:
the equation of the line passing through points (,), () is:
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, 0) and (x2, y2) = (-1, 1).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-1)x + (0)

Your graph:



so, the equation of your line is
check now all three points and see that all of them lie on the same line:



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