Problem 4E

Refer to Exercise.

The equation (deterministic) for a straight line is

y = β0 + β1x

If the line passes through the point (-2, 4), then x = -2, y = 4 must satisfy the equation; that is,

4= β0 + β1(-2)

Similarly, if the line passes through the point (4, 6), then x = 4, y = 6 must satisfy the equation; that is,

6= β0 + β1x(4)

Use these two equations to solve for β0 and β1 ; then find the equation of the line that passes through the points (-2, 4) and (4, 6).

Find the equations of the lines that pass through the points listed in Exercise.

In each case, graph the line that passes through the given points.

a. (1, 1) and (5, 5)

b. (0, 3) and (3, 0)

c. (-1, 12) and (4, 2)

d. (-6, -32) and (2, 6)

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