Question

What is the equation of the line that passes through the point (-5,5) and has a
slope of -1?

Answer 1

y = - x

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 , then

y = - x + c ← is the partial equation

To find c substitute (- 5, 5 ) into the partial equation

5 = 5 + c ⇒ c = 5 - 5 = 0

y = - x ← equation of line