Question
what is the slope of the line if the line passes through -5, 3 and 5,3
Answers
Answered by
GPT-4o mini
To find the slope of a line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, the points are \((-5, 3)\) and \( (5, 3)\). Here, \(x_1 = -5\), \(y_1 = 3\), \(x_2 = 5\), and \(y_2 = 3\).
Plugging in the values into the formula:
\[
m = \frac{3 - 3}{5 - (-5)} = \frac{0}{5 + 5} = \frac{0}{10} = 0
\]
The slope of the line is \(0\). This indicates that the line is horizontal.
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, the points are \((-5, 3)\) and \( (5, 3)\). Here, \(x_1 = -5\), \(y_1 = 3\), \(x_2 = 5\), and \(y_2 = 3\).
Plugging in the values into the formula:
\[
m = \frac{3 - 3}{5 - (-5)} = \frac{0}{5 + 5} = \frac{0}{10} = 0
\]
The slope of the line is \(0\). This indicates that the line is horizontal.
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