What is the slope of the line that goes through the points (-4, 5) and (0, -4)?

Question

asked May 10, 2024 84.7k views

2 Answers

Xnake · Answer 1 · 2024-05-11T16:27:36+0000

Answer:

m = -9/4

Explanation:

Our task is to find the slope of the line that goes through the points (4,5) and (0,-4).

I am going to use the following formula:

$\underbrace{\bf{m=\cfrac{-4-5}{0-(-4)}}}_(slope\;formula)$

$\dotfill$

$\sf{m=\cfrac{-4-5}{0-(-4)}}$

$\sf{m=\cfrac{-9}{0+4}}$

$\sf{m=-\cfrac{9}{4}}$

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Luuk Van Dongen · Answer 2 · 2024-05-15T14:33:47+0000

Answer:

m=-(9)/(4)

Explanation:

We are given that a line passes through the points (-4,5) and (0, -4).

We want to find the slope (m) of the line.

We can use the formula
(y_2-y_1)/(x_2-x_1) where
(x_1,y_1) and
(x_2,y_2) are points.

Let's label the values of the points.

$x_1=-4\\y_1=5\\x_2=0\\y_2=-4$

Now, let's plug those values into the formula.

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

m=(-4-5)/(0--4)

Simplify.

m=(-4-5)/(0+4)

m=(-9)/(4)