Decide whether the slope is​ positive, negative,​ zero, or undefined.

-10
10
-10
10
x
y

x y graph
.
.
.
Question content area right
Part 1
A.
Negative
B.
Zero
C.
Undefined
D.
Positive

1 answer

To determine the slope of the line represented by the points provided in your question, we generally look at the change in y-coordinates with respect to the change in x-coordinates.

The slope (m) can be calculated using the formula:

\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \]

However, from the information given, it seems you're presenting points in pairs. It looks like the points are:

  1. (-10, -10)
  2. (10, 10)

Calculating the slope using these points:

  • Let \((x_1, y_1) = (-10, -10)\) and \((x_2, y_2) = (10, 10)\).

Now substituting into the slope formula:

\[ m = \frac{10 - (-10)}{10 - (-10)} = \frac{10 + 10}{10 + 10} = \frac{20}{20} = 1 \]

Since the slope is positive, the answer is:

D. Positive