Find the slope (rate of change) of a line that passes through (–4,7) and (-6,-4)
The slope of a line passing through two points can be found using the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the two given points:
m = (-4 - 7) / (-6 - (-4))
= (-4 - 7) / (-6 + 4)
= -11 / -2
= 11/2
Therefore, the slope (rate of change) of the line passing through (-4,7) and (-6,-4) is 11/2.