#2**+5 **

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

CPhill
Jan 17, 2015

#3**+5 **

Probably but then again maybe they want the set of all circles that pass through those points or maybe they want something else.

Melody
Jan 17, 2015

#4**+5 **

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....

CPhill
Jan 17, 2015