What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

y = - x +

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 ) = (3, - 1) and (x₂, y₂ ) = (- 1, 5)

m = = = - , thus

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 5), then

5 = + c ⇒ c = 5 - =

y = - x + ← equation of line

step-by-step explanation: