# Question: Refer to Exercise 11 7 Find the equations of the lines

Refer to Exercise 11.7. Find the equations of the lines that pass through the points listed in Exercise 11.5.

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).

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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