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
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)/(5-3) = 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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