how do you write an equation for (5,4) and (-4,3)
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
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....
Yes I know Chris, I am in a contrary mood.
LET ME HAVE MY MOMENT! ROF LOL