helpeeee😱 My numbers are wrong?
Hello dear community! 🎀🤘🏽
I'm hoping you can help me with a math problem! I'm trying to understand how to check if certain points lie on a linear function.
The function I am working with is:
g(x) = 0.5x – 3
I have the point P1(-1 | 4) and want to know if this point lies on the line. I've rearranged the equation and tried to substitute y for point 4, so:
4 = 0.5 * (-1) – 5
But then I came up with:
4 = -5.5
This doesn't make any sense to me because the two sides don't match 🤷🏻♀️ I'm not sure where I went wrong or if I rearranged the equation correctly.
Could someone please help me and explain how to do this correctly? I really want to make sure I understand. 🙏🏼
Thank you in advance for your support! ✨
(2 votes)
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You write that g(x)=0.5x-3 should be and then 4=0.5*(-1)-5 instead of -3 below. But also with the -3 it comes out that the point (-1|4) is not on the straight line, because 4=-3.5 comes out.
If the two sides do not match, then the point is not on the straight line, quite simply.
By the way, the point with x =4 and y=-1 would be on the straight line, as it meets the equation, did you write everything correctly?
At this point you are finished with the task, because with this contradiction you have proven that the point is NOT on the straight line.