Refer to Exercise 11.7. Find the equations of the lines that pass through the points listed in
Question:
In Exercise 11.5
a. (1, 1) and (5, 5)
b. (0, 3) and (3, 0)
c. 1-1, 12 and (4, 2)
d. 1-6, -32 and (2, 6)
In Exercise 11.7
The equation (deterministic) for a straight line is
y = β0 + β1x
If the line passes through the point 1-2, 42, then x = -2, y = 4 must satisfy the equation; that is,
4 = β0 + β1(1-2)
Similarly, if the line passes through the point (4, 6), then x = 4, y = 6 must satisfy the equation; that is,
6 = β0 + β1(4)
Use these two equations to solve for β0 and β1; then find the equation of the line that passes through the points 1-2, 42 and (4, 6).
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