What is the slope of the line passing through the points (−3, 4) and (4, −1)?
A slope indicates the change in gradient of the graph, which can be either positive or negative.
Answer: The slope of the line passing through the points (−3, 4) and (4, −1) is -5 / 7.
Let's look into the steps below.
Given points: (-3, 4) and (4, -1)
The formula for slope = (y2 - y1) / (x2 - x1) , where (x1, y1) and (x2, y2) are the two points
Using the above formula, slope for the given points = (-1 - 4) / (4 - (-3))
Slope = -5 / 7
A negative slope indicates a downward slope or a decreasing graph.