- The slope of the LlNE 1 is negative
- For the vertical line, since the line is parallel to the y axis and the change in the x-value is zero, hence the slope of LINE 2 will be UNDEFINED
- The slope of LlNE 3 is positive
- For the horizontal line (fourth graph), since the line is parallel to the x-axis and the change in the y-value is zero, hence the slope of LINE 4 will be ZERO
The slope of a line is determined by its steepness.
The formula for calculating slope is expressed as;
[tex]\frac{\triangle y}{\triangle x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
For the first graph, we can assume the coordinates (-1, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0_1}{0-(-1)}\\\frac{\triangle y}{\triangle x} = \frac{-2}{1}\\\frac{\triangle y}{\triangle x} = -2\\\\[/tex]
Since the slope is -2 which is a negative value, hence the slope of LlNE 1 is negative
For the vertical line, since the line is parallel to the y axis and the change in the x-value is zero, hence the slope of LINE 2 will be UNDEFINED
For the THIRD graph, we can assume the coordinates (2, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0}{0-2}\\\frac{\triangle y}{\triangle x} = \frac{-2}{-2}\\\frac{\triangle y}{\triangle x} = 1\\\\[/tex]
Since the slope is 1 which is a negative value, hence the slope of LlNE 3 is positive
For the horizontal line (fourth graph), since the line is parallel to the x-axis and the change in the y-value is zero, hence the slope of LINE 4 will be ZERO
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