Find the slope of the line that contains the points named. K(c + d, c - d), L(c - d, c + d)

Answer 1

slope of a line between two points is (change in y)/(change in x) or (y_L-y_K)/(x_L-x_K). It doesn't matter which point you choose to claculate the change with respect to as the slope will be the same (It would just change signs of the numerator and the denominator of the fraction).

So grind away with the non-numerical values given ((c+d)-(c-d))/((c-d)-(c+d))

or 2d/(-2d) = -1 If you picture the vertical line at x = c. and y = 0: K is d over in x and -d in y and L is -d over in x and +d in y. The slope from this origin point is -d/d = d/-d = -1

Hope that helped.

Answer 2

The slope of a line is calculated by the change in "y" divided by the change in "x" which can be written as:

In this case, we have the 2 points given as (x, y) points that we can assign like this:

So, m = [(c + d) - (c - d)] / [(c - d) - (c + d)] = (2d) / (-2d) = -1