I think this person wants to write an equation of a line using these points...
OK....let's get the slope, first ....where the slope, m, is defined as change in y / change in x
And from the first point to the second, y changes by -1
And from the first point to the second, x changes by - 9
So...the slope is -1 / -9 = 1/9 ....and we can use one of the points to write the equation...I'll use the first one ... so we have
y - 4 = (1/9)(x -5) simplify the right side and add 4 to both sides
y = (1/9)x - 5/9 + 4
y = (1/9)x + 31/9
Here's the graph.....https://www.desmos.com/calculator/azju8icg1f
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Probably but then again maybe they want the set of all circles that pass through those points or maybe they want something else. ![]()
An infinite number of circles pass through any two points - we'd need at least three points to write an equation for any particular circle - thus, I'll just guess that this was what was intended........but....it's just a guess....
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