How do you find the slope of (-4,0) and (1,-5)?

1 Answer
Aug 21, 2015

m = -1m=1

Explanation:

First, take a look at how the slope of a line that passes through two points of coordinates (x_1","y_1)(x1,y1) and (x_2","y_2)(x2,y2) is defined

color(blue)("slope" = m = ((y_2 - y_1))/((x_2 - x_1)))slope=m=(y2y1)(x2x1)

All you have to do from this point forward is idenify the coordinates of the two points given to you.

The two point are (-4,0)(4,0) and (1,-5)(1,5), which means that you have

{(x_1 = -4), (y_1 = 0) :}" " and " "{(x_2 = 1), (y_2 = -5) :}

Plug these values into the formula for the slope of the line to get

m = ((-5 - 0))/((1 - (-4))) = ((-5))/(5) = color(green)(-1)