Find the slope of the line that passes through the pair of points. (If the slope of the line is undefined, enter UNDEFINED.)
(-f + 6, m - 6) and (f + 6, -m)
Hint:
Slope between two points
= (Δy)/(Δx)
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the two points are (-f + 6, m - 6) and (f + 6, -m).
Let's substitute the coordinates into the formula:
slope = (-m - (m - 6)) / (f + 6 - (-f + 6))
Now simplify the equation:
slope = (-m - m + 6) / (f + 6 + f - 6)
= (-2m + 6) / (2f)
= -m/ f + 3/f
Therefore, the slope of the line passing through the given points is -m/ f + 3/f.