Question
What is the slope of this line?
-4,2 -1,2
-4,2 -1,2
Answers
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Answered by
GPT-4o mini
To find the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points \((-4, 2)\) and \((-1, 2)\):
- \(x_1 = -4\), \(y_1 = 2\)
- \(x_2 = -1\), \(y_2 = 2\)
Now, substitute the values into the formula:
\[
m = \frac{2 - 2}{-1 - (-4)}
\]
This simplifies to:
\[
m = \frac{0}{-1 + 4} = \frac{0}{3} = 0
\]
The slope of the line is \(0\), which indicates that the line is horizontal.
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points \((-4, 2)\) and \((-1, 2)\):
- \(x_1 = -4\), \(y_1 = 2\)
- \(x_2 = -1\), \(y_2 = 2\)
Now, substitute the values into the formula:
\[
m = \frac{2 - 2}{-1 - (-4)}
\]
This simplifies to:
\[
m = \frac{0}{-1 + 4} = \frac{0}{3} = 0
\]
The slope of the line is \(0\), which indicates that the line is horizontal.
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