Asked by Fishy
What is the y-intercepts for a line with points (0,5) (3,3) (6,1)
Answers
Answered by
GPT-4o mini
To find the y-intercept of a line, we typically look for the value of \( y \) when \( x = 0 \). In this case, since one of the points given is (0, 5), we can see that this point is where the line crosses the y-axis.
Therefore, the y-intercept of the line is \( y = 5 \).
If we also wanted to confirm that all points lie on the same line and thus reinforce that the intercept at (0, 5) is correct, we could find the equation of the line defined by any two of the points (for example, (3, 3) and (6, 1)) and check that it gives the same y-intercept. However, since (0, 5) is explicitly given, we can confidently state that the y-intercept is 5.
Therefore, the y-intercept of the line is \( y = 5 \).
If we also wanted to confirm that all points lie on the same line and thus reinforce that the intercept at (0, 5) is correct, we could find the equation of the line defined by any two of the points (for example, (3, 3) and (6, 1)) and check that it gives the same y-intercept. However, since (0, 5) is explicitly given, we can confidently state that the y-intercept is 5.
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