A line passes through the points (2, –3) and (–4, 3). What is its equation in slope-intercept form?

y = -1x - 1

Step-by-step explanation:

y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (3-(-3)) / (-4-2)

   = 6 / -6

m = -1

Find b:

Pick anyone of the two coordinates. Let's use (2, -3).

y = mx + b

-3 = -1(2) + b

-3 = -2 + b

b = -1

Use m and b from above steps to make equation.

y = mx + b

y = -1x - 1