Since this is a line it has a constant velocity or slope, and the line can be expressed as y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0)
m=(y2-y1)/(x2-x1)
m=(6--4)/(10-4)
m=10/6
m=5/3, using any point we can then find the y-intercept, I'll use (4,-4)
-4=5(4)/3+b
-4=(20+3b)/3
-12=20+3b
-32=3b
-32/3=b so our line is:
y=(5x-32)/3
So there are infinite points on the line segment defined by the equation above on the interval of x=[4,10]
A point? How about the midpoint...x=(4+10)/2=7
y(7)=(5*7-32)/3=1
(7,1)
