Question

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

Answer 1

Slope-intercept form - Y= -1x-1

Answer 2

y = -1x - 1

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