Question

Write the equation of the line in slope intercept form that passes through the points (4,-2) and (2,-1)

Answer 1

y + 2 = (-1/2)(x - 4)

Explanation:

Let's move from (2, -1) to (4, -2) and measure the changes in x and y. x increases by 2 units from 2 to 4, and y decreases by 1 unit from -1 to -2. Thus, the slope of the line connecting the two points is m = rise / run =

-1

--- = (-1/2).

2

Using the point-slope formula, we get:

y + 2 = (-1/2)(x - 4)