The slope(m) of the line segment whose endpoints are (-1, 1) and (1, 5) is: 2.
Recall:
- Slope (m) = rate of change of y / rate of change of x
- Slope (m) = [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
- Given the endpoints of a line as:
(-1, 1) and (1, 5)
[tex](-1, 1) = (x_1, y_1)\\\\(1, 5) = (x_2, y_2)[/tex]
Slope (m) = [tex]\frac{5-1}{1-(-1)}[/tex]
Slope (m) = [tex]\frac{4}{2}[/tex]
Slope (m) = 2
In summary, the slope(m) of the line segment whose endpoints are (-1, 1) and (1, 5) is: 2.
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