Consider the points A (-3, 2) and B (1, –5). Is the line passing through points A and B increasing, decreasing, vertical or horizontal?

Question

asked Nov 10, 2024 185k views

1 Answer

Lindel · Answer 1 · 2024-11-14T05:07:21+0000

Answer:

Decreasing

Explanation:

We are given two points, A (-3,2) and B (1,-5).

We want to know if the line passing through these two points is increasing, decreasing, vertical, or horizontal.

To do that, we should find the slope (m) of the line.

Recall that the slope of the line can be found using the formula
m=(y_2-y_1)/(x_2-x_1) where
(x_1,y_1) and
(x_2,y_2) are points.

Although we already have two points, we can label the values of the points to help reduce confusion and mistakes.

$x_1=-3\\y_1=2\\x_2=1\\y_2=-5$

Now, substitute these values into the formula.

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

m=(-5-2)/(1--3)

m=(-5-2)/(1+3)

m=(-7)/(4)

So, the slope of this line is negative, so the line passing through the points is decreasing.