Question
.2 Find the slope from two points
VZG
You have prizes to reveal!
Go to your game board.
Find the slope of the line that passes through (2, 2) and (6, 7).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
VZG
You have prizes to reveal!
Go to your game board.
Find the slope of the line that passes through (2, 2) and (6, 7).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
GPT-4o mini
To find the slope of the line passing through the points \((2, 2)\) and \((6, 7)\), you can use the formula for the slope \(m\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (2, 2)\) and \((x_2, y_2) = (6, 7)\).
Substituting in the values:
\[
m = \frac{7 - 2}{6 - 2} = \frac{5}{4}
\]
So, the slope of the line is \(\frac{5}{4}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (2, 2)\) and \((x_2, y_2) = (6, 7)\).
Substituting in the values:
\[
m = \frac{7 - 2}{6 - 2} = \frac{5}{4}
\]
So, the slope of the line is \(\frac{5}{4}\).