Answer:
the slope is 1/2
Step-by-step explanation:
The slope is the difference in y divided by the difference in x direction.
So for two points (x1, y1) and (x2, y2) it is:
[tex]slope = \dfrac{y_1-y_2}{x_1-x_2}[/tex]
If you fill this in for your two points:
slope = (2-3)/(4-6) = -1 / -2 = 1/2
It doesn't matter which point you choose as 1st or second. If you switch, you get:
slope = (3-2)/(6-4) = 1/2 (same answer)
The equation of the line through these points is:
y = ax + b
Where a is the slope you found earlier. b=0 in this case since the line passes through the origin.
