MHB (0,a) , (b,0) , (2,d) and (e,7) lie on y=2x+1, find a, b, d and e

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The equation of the line is y = 2x + 1, and the points (0, a), (b, 0), (2, d), and (e, 7) lie on this line. For the point (0, a), substituting x = 0 gives a = 1. For (b, 0), solving the equation 0 = 2b + 1 results in b = -0.5. For (2, d), substituting x = 2 yields d = 5, and for (e, 7), solving 7 = 2e + 1 gives e = 3. The values found are a = 1, b = -0.5, d = 5, and e = 3.
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A STRAIGHT LINE has equation y=2x+1. The point coordinates (0,a) , (b,0) , (2,d) and (e,7) lie on this line. Find the values of a,b,d, and e.
 
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Parthyy said:
A STRAIGHT LINE has equation y=2x+1. The point coordinates (0,a) , (b,0) , (2,d) and (e,7) lie on this line. Find the values of a,b,d, and e.
You have an equation y = 2x + 1 and several ordered pairs on that line.

So for the first, (0, a) we have
[math]a = 2(0) + 1 = 1[/math]

Thus a =1. Can you finish?

-Dan
 
Parthyy said:
A STRAIGHT LINE has equation y=2x+1. The point coordinates (0,a) , (b,0) , (2,d) and (e,7) lie on this line. Find the values of a,b,d, and e.
Each pair represents (x, y). The line is given as y= 2x+ 1 so (0, a) must satisy a= 2(0)+ 1. similarly, (b, 0) must satisfy 0= 2b+ 1. Solve that equation for b. (2, d) must satisfy d= 2(2)+ 1. (e, 7) must satisfy 7= 2e+ 1. Solve that equation for e.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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