What is the slope of the line passing through the following points: (-2, -4) , (4,-1) (2,4),(4,1)?

1 Answer
Dec 8, 2015

The slope, mm, is 1/212.

Explanation:

The equation for finding the slope when you have two points on a line is m=(y_2-y_1)/(x_2-x_1)m=y2y1x2x1, where mm is the slope, (x_1,y_1)(x1,y1) is one point, and (x_2,y_2)(x2,y2) is the other point.

Point 1:(-2,-4)(2,4)
Point 2:(4,-1)(4,1)

m=(y_2-y_1)/(x_2-x_1)m=y2y1x2x1

Substitute the known values into the equation.

m=(-1-(-4))/(4-(-2))m=1(4)4(2)

Simplify.

m=(-1+4)/(4+2)m=1+44+2

Simplify.

m=3/6m=36

Simplify.

m=1/2m=12