5) through: (4, - 2), slope = - 1

1.

y = - x + 2

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c (m is the slope and c the y - intercept)

Here m = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (4, - 2) into the partial equation

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = - x + 2 ← equation of line