Slope of Line Intersecting (2,2) & (6,7)

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If a line intersects both points (2, 2) and (6, 7), determine its slope.
 
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With the possibility that some school students come in this forum and expect us to spoon feed the answers, here it is. Besides, one of the rules of this forum is that we need to show some effort! So here is my effort!
y = ax + b
a = dy/dx = (7 - 2)/(6 - 2) = 5/4