Question

Slope of a graph with two dots (2,0) and (0,-2)
What is base also

Answer 1

How about (3,-1) and (0,1)

Answer 2

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

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

Given the points (2, 0) and (0, -2), you can assign:

- \( (x_1, y_1) = (2, 0) \)
- \( (x_2, y_2) = (0, -2) \)

Now, plug in the values:

\[
m = \frac{-2 - 0}{0 - 2} = \frac{-2}{-2} = 1
\]

So, the slope of the line is \( m = 1 \).

In terms of the "base," if you're referring to the distance between the two points along the x-axis (the horizontal distance), you can calculate it as:

\[
\text{base} = |x_2 - x_1| = |0 - 2| = 2
\]

If you're referring to something else by "base," please provide more details. But the distance between the points on the x-axis is 2.

Answer 3

To find the slope of the line given the points (3, -1) and (0, 1), we can use the slope formula:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points:

- \( (x_1, y_1) = (3, -1) \)
- \( (x_2, y_2) = (0, 1) \)

Now, substitute these values into the formula:

\[
m = \frac{1 - (-1)}{0 - 3} = \frac{1 + 1}{0 - 3} = \frac{2}{-3} = -\frac{2}{3}
\]

So, the slope of the line is \( m = -\frac{2}{3} \).

To find the base (the horizontal distance between the two points), we calculate:

\[
\text{base} = |x_2 - x_1| = |0 - 3| = 3
\]

Thus, for the points (3, -1) and (0, 1):
- The slope is \( -\frac{2}{3} \).
- The base (horizontal distance) is \( 3 \).