Question

What is slope of line f?​

Answer 1

Answer:   The fraction  2/5

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Explanation:

We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.

From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).

This shows that,

slope = rise/run = 2/5

The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.

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Optionally you can use the slope formula

m = (y2-y1)/(x2-x1)

with any two points you want from the graph.