Find the slope. 1. $$ (-2,1)(2,2) $$

Question

UpStudy AI · Accepted Answer

To find the slope $$ m $$ of a line given two points $$ (x_1, y_1) $$ and $$ (x_2, y_2) $$, we can use the formula:

$$
m = \frac{y_2 - y_1}{x_2 - x_1}
$$

Given the points $$ (-2, 1) $$ and $$ (2, 2) $$:

- $$ x_1 = -2 $$
- $$ y_1 = 1 $$
- $$ x_2 = 2 $$
- $$ y_2 = 2 $$

Now, we can substitute these values into the slope formula:

$$
m = \frac{2 - 1}{2 - (-2)}
$$

Calculating the numerator and denominator:

1. Numerator: $$ 2 - 1 = 1 $$
2. Denominator: $$ 2 - (-2) = 2 + 2 = 4 $$

Now substituting back into the slope formula:

$$
m = \frac{1}{4}
$$

Thus, the slope of the line through the points $$ (-2, 1) $$ and $$ (2, 2) $$ is $$ \frac{1}{4} $$.
The slope is $$ \frac{1}{4} $$.

Find the slope. 1. \( (-2,1)(2,2) \)