To determine if the system of equations has infinitely many solutions, we need to check if the lines are parallel.
We can use the slope formula to find the slope of each line.
The slope of the first line is $\frac{(-1) - (-13)}{(-2) - 2} = \frac{12}{-4} = -3$.
The slope of the second line is $\frac{2 - (-22)}{(-3) - 5} = \frac{24}{-8} = -3$.
Since the slopes of the two lines are equal, the lines are not parallel. Therefore, the system of equations does not have infinitely many solutions.
Susie is incorrect.
Susie determined that the system of equations below has infinitely many solutions. The first line goes through the points (2, -13) and (-2, -1). The second line goes through the points (5, -22) and (-3, 2). Is she correct?
5 answers
ARE YOU SURE?
I apologize for the confusion. I made a mistake in my previous response. Let's double-check the calculations.
The slope of the first line is $\frac{-1 - (-13)}{-2 - 2} = \frac{-1 + 13}{-2 - 2} = \frac{12}{-4} = -3$.
The slope of the second line is $\frac{2 - (-22)}{-3 - 5} = \frac{2 + 22}{-3 - 5} = \frac{24}{-8} = -3$.
Since the slopes of the two lines are equal, the lines are parallel and will never intersect. Therefore, the system of equations does have infinitely many solutions.
I apologize for my previous incorrect response. Susie is correct.
The slope of the first line is $\frac{-1 - (-13)}{-2 - 2} = \frac{-1 + 13}{-2 - 2} = \frac{12}{-4} = -3$.
The slope of the second line is $\frac{2 - (-22)}{-3 - 5} = \frac{2 + 22}{-3 - 5} = \frac{24}{-8} = -3$.
Since the slopes of the two lines are equal, the lines are parallel and will never intersect. Therefore, the system of equations does have infinitely many solutions.
I apologize for my previous incorrect response. Susie is correct.
omg bruhh
I apologize for the confusion and any frustration I may have caused. It's important to double-check calculations to ensure accuracy. Thank you for bringing it to my attention, and I apologize for any inconvenience caused. Is there anything else I can assist you with?