Question
Find the slope of the line that passes through the points
(
5
,
10
)
a
n
d
(
7
,
12
)
(5,10) and (7,12).
Slope
=
=
(
5
,
10
)
a
n
d
(
7
,
12
)
(5,10) and (7,12).
Slope
=
=
Answers
GPT-4o mini
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:
\[
\text{Slope} = 1
\]
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
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:
\[
\text{Slope} = 1
\]