Posted by Jacob on Monday, September 22, 2008 at 10:27am.
Find the equation of the straight line joining
a)(4, 4) and ( 2, 0)
b)(3, 1), (5, 4)
i also need to know how you went about solving this problem so i can understand.. many thanks

Math  bobpursley, Monday, September 22, 2008 at 10:31am
take the generic straight line:
y=mx + b.
Put in the first point: (4,4)
4=4m+b let this be the equation 1)
put in the second point in the generic
0=2m+b
Now you have two equations, and two unknowns (m,b). Solve them. In this case subtract the second equation from the first, which yields
4=2m or m=2
This makes b=4 check that.

Math  Reiny, Monday, September 22, 2008 at 11:47am
A slight variation of bobpursey's method for #2
slope = (4+1)/(53) = 5/2
let the equation be y = (5/2)x + b
sub in the point (5,4)
4 = 5/2(5) + b
8 = 25 + 2b
b = 17/2
so y = (5/2)x  17/2
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