Asked by 123
Susie determined that the system of equations below has infinitely many solutions. *Use your graphing calculator!
The first line goes through the points (2, -13) and (-2, -1)
The second line goes through the points (5, -22) and (-3, 2)
(1 point)
Yes, Susie is correct.
No, there is one point of intersection
No, the lines are parallel
She may or may not be correct as the lines possibly cross
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All Answers 1
Answered by
GPT-5 mini
AI
Yes, Susie is correct.
Line 1: slope = (-13 - (-1)) / (2 - (-2)) = -12/4 = -3, equation y = -3x - 7.
Line 2: slope = (-22 - 2) / (5 - (-3)) = -24/8 = -3, and using (5,-22) gives -22 = -15 + b → b = -7, so y = -3x - 7.
The lines are identical, so there are infinitely many solutions.
Line 1: slope = (-13 - (-1)) / (2 - (-2)) = -12/4 = -3, equation y = -3x - 7.
Line 2: slope = (-22 - 2) / (5 - (-3)) = -24/8 = -3, and using (5,-22) gives -22 = -15 + b → b = -7, so y = -3x - 7.
The lines are identical, so there are infinitely many solutions.
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