Find the slope of the line that passes through the points

(
5
,
10
)

a
n
d

(
7
,
12
)
(5,10) and (7,12).​

Slope​​
=
=

1 answer

To find the slope of the line that passes through the points \( (5, 10) \) and \( (7, 12) \), we can use the slope formula:

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

Here, \( (x_1, y_1) = (5, 10) \) and \( (x_2, y_2) = (7, 12) \).

Substituting the values:

\[ m = \frac{12 - 10}{7 - 5} = \frac{2}{2} = 1 \]

Thus, the slope of the line is:

\[ \text{Slope} = 1 \]