Answer:
4
Explanation:
When trying to determine slope from a graph, it is useful to choose points on the graph where the line crosses grid intersections. For this graph, two such points are ...
(x, y) = (40, 10) and (50, 50)
The "rise" between these two points is the difference of their y-coordinates: 50 -10 = 40.
The "run" between these two points is the difference of their x-coordinates: 50 -40 = 10
The slope of the line is the ratio of "rise" to "run":
m = rise/run = 40/10 = 4
The slope of the line is 4.
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Additional comment
This graph has scales that are 10 units between grid lines in both the x- and y-directions. This means you can also find the slope by counting grid squares. The points above differ by 4 grid squares in the vertical direction, and 1 grid square in the horizontal direction. Using grid square counts instead of coordinate value differences, we have ...
m = rise/run = 4/1 = 4