Answer: (5/4)
Step-by-step explanation:
The slope of a line is known as the "Rise" over the "Run," or the change in y over a change in x.
Only two points are needed to determine the slope of a straight line. We have: (2, 4) and (6,9). Going from (2, 4) to (6,9):
Rise = (9 - 4) or 5
Run = (6 - 2) or 4
Rise/Run = 5/4
The slope is 5/4
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Bonus:
For curiosity, what would the full equation be? We can use the slope in the slope/intercept form of a straight line: y = mx + b, where m is the slope and b is the y-intercept.
We know from above that y = (5/4)x + b
We need a value of b that forces the line to go through both points. Find b by selecting either of the two points and entering that point in y + (5/4)x + b:
I'll use point (2,4)
y = (5/4)x + b
4 = (5/4)*(2) + b
b = 1.5
The equation is y = (5/4)x+1.5
See attachment
