The slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
Recall:
The slope (m) of a line can be calculated using the formula:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
- Given the points that a line passes through are:
(2.1, -4.2) and (2.5, -5)
- To calculate the slope of the line that passes through both points, let,
[tex](2.1, -4.2) = (x_1, y_1)\\\\(2.5, -5) = (x_2, y_2)[/tex]
- Plug in the values into the formula:
Slope (m) = [tex]\frac{-5 -(-4.2)}{2.5 - 2.1} = \frac{-0.8}{0.4} = -2[/tex]
Therefore, the slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
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