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

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Answer 1 · 2015-08-21T11:47:40

$m = -1$

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

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

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

The two point are $(-4,0)$ and $(1,-5)$ , 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

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