What is the slope of a line that passes through the points (-3,-5) and (1,7) in the xy-plane?
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
In this case, the points are (-3, -5) and (1, 7), so:
m = (7 - (-5)) / (1 - (-3))
m = (7 + 5) / (1 + 3)
m = 12 / 4
m = 3
Therefore, the slope of the line passing through the points (-3, -5) and (1, 7) is 3.