The slope of line X between (-7, 6) and (-4, 4) is . What is the slope of line X between (-1, 2) and (5, -2)?
The slope of a line is calculated by finding the change in y-coordinates divided by the change in x-coordinates between two points on the line.
For the first pair of points (-7, 6) and (-4, 4), the change in y-coordinates is 4 - 6 = -2, and the change in x-coordinates is -4 - (-7) = -4 + 7 = 3. The slope is thus:
slope = change in y-coordinates / change in x-coordinates = -2/3
For the second pair of points (-1, 2) and (5, -2), the change in y-coordinates is -2 - 2 = -4, and the change in x-coordinates is 5 - (-1) = 5 + 1 = 6. The slope is thus:
slope = change in y-coordinates / change in x-coordinates = -4/6 = -2/3
So the slope of line X between (-1, 2) and (5, -2) is also -2/3, the same as the slope between (-7, 6) and (-4, 4).