- #1
santo2110
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I have 2 points are : 3,5,10 and -1,2,0. How to find equivalent for its line?
I have 2 points are : 3,5,10 and -1,2,0. How to find equivalent for
- Thread starter santo2110
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- Equivalent Points
In summary, the conversation is about finding the equation of a line passing through two given points with coordinates (3,5,10) and (-1,2,0). The equation can be found by starting from one point and adding a parameter times the vector from that point to the other point.
- #2
tiny-tim
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Welcome to PF!
Hi santo2110! Welcome to PF!
Are these (x,y,z) coordinates?
And equivalent what? (or do you mean the equation of the line joining them?)
Hi santo2110! Welcome to PF!
santo2110 said:
Are these (x,y,z) coordinates?
And equivalent what? (or do you mean the equation of the line joining them?)
- #3
santo2110
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tiny-tim said:Hi santo2110! Welcome to PF!
Are these (x,y,z) coordinates?
And equivalent what? (or do you mean the equation of the line joining them?)
Yes, i mean equation sori
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tiny-tim
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ok, then start from one point, and add a parameter times the vector from that point to the other point.
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blue_raver22
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To find the equivalent line for a set of two points, you can use the slope-intercept form of a line, which is y=mx+b, where m is the slope and b is the y-intercept.
First, we need to find the slope (m) of the line. This can be done by using the formula m = (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of the two points.
In this case, our two points are (3,5) and (-1,2). Plugging in the values, we get m = (2-5) / (-1-3) = -3/-4 = 3/4.
Next, we need to find the y-intercept (b). This can be done by substituting the slope (m) and one of the points (x,y) into the slope-intercept form (y=mx+b) and solving for b.
Using the point (3,5), we get 5 = (3/4)(3) + b. Solving for b, we get b = 5 - 9/4 = 11/4.
Therefore, the equation of the line that is equivalent to the two points (3,5) and (-1,2) is y = (3/4)x + 11/4.
FAQ: I have 2 points are : 3,5,10 and -1,2,0. How to find equivalent for
How do you find the equivalent for 3,5,10 and -1,2,0?
To find the equivalent for a set of points, you can use the scale factor method. First, choose a scale factor, then multiply each point by the scale factor to get the equivalent points. For example, if the scale factor is 2, the equivalent points would be 6,10,20 and -2,4,0.
Can you use any scale factor to find the equivalent points?
Yes, you can use any scale factor to find the equivalent points. However, it is important to note that the scale factor must be the same for all points in the set.
How do you know if the equivalent points are accurate?
The equivalent points are accurate if they maintain the same proportional relationships as the original points. This means that the distances and angles between the points should remain the same.
Can you find the equivalent points for a set with more than two points?
Yes, the same scale factor method can be used to find the equivalent points for a set with more than two points. Simply multiply each point by the chosen scale factor to get the equivalent points.
Is there a specific formula for finding equivalent points?
There isn't a specific formula for finding equivalent points, as it depends on the method being used. However, the scale factor method is commonly used to find equivalent points, and it involves multiplying each point by the chosen scale factor to get the equivalent points.