What is the slope of the line with the points of (-2, 5) and (-3, 1)? *Off hand I came up with 4/1 from looking at the picture of the line graphed, but I believe that I am wrong. May someone help?*

you are correct. Calculate the change in x and the change in y between the two points. The slope is y-change/x-change:

(1-5)/(-3-(-2)) = -4/-1 = 4

Thank you, if I leave it at -4/-1 would I be incorrect though?

not incorrect, but we usually try to simplify fractions, such as

3/9 = 1/3
4/1 = 4
etc.
However, leaving it as -4/-1 does indicate just how you performed your calculation.
I think your teacher (and probably an online answer key) would prefer just 4

Thank you! Have a great rest of the day!

To find the slope of a line given two points, you can use the formula:

slope = (y2 - y1) / (x2 - x1)

In this case, the coordinates of the first point are (-2, 5), and the coordinates of the second point are (-3, 1).

Let's label the first point as (x1, y1) = (-2, 5) and the second point as (x2, y2) = (-3, 1):

x1 = -2
y1 = 5
x2 = -3
y2 = 1

Now we can substitute the values into the formula:

slope = (1 - 5) / (-3 - (-2))
= (1 - 5) / (-3 + 2)
= -4 / -1
= 4

So, the slope of the line passing through the points (-2, 5) and (-3, 1) is 4. Your initial instinct was correct!