Determine the equation for the given line in slope intercept form.

y = - x - 1

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, - 4) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = = = -

Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - x - 1 ← equation in slope- intercept form