Final answer:
The equation of the line passing through the points (10, 4) and (8, 3) in point-slope form is y - 4 = (1/2)(x - 10).
Step-by-step explanation:
The equation of the line passing through the points (10, 4) and (8, 3) in point-slope form is:
y - y1 = m(x - x1)
Let's substitute the values of (x1, y1) = (10, 4) and (x2, y2) = (8, 3) into the formula:
y - 4 = m(x - 10)
Now, let's solve for 'm':
3 - 4 = m(8 - 10)
-1 = -2m
m = -1/-2 = 1/2
Substitute the value of 'm' back into the point-slope form equation:
y - 4 = (1/2)(x - 10)
Therefore, the equation of the line in point-slope form is: y - 4 = (1/2)(x - 10)