Answer:
4
Step-by-step explanation:
Since perpendicular lines have negative reciprocals, we have to find out the negative reciprocal of -1/4.
To get the negative reciprocal of -1/4, we have to switch the numbers in the numerator and denominator.
That becomes 4/-1, and then we have to remove the negative, which makes the final answer 4/1.
4/1 = 4
Therefore, the negative reciprocal of -1/4 is 4.
Hope this Helps!
The slope of the red perpendicular line is 4.
Slope of a straight line is defined as the inclination of the line with respect to the coordinate axis. The slope is also measure of the tangent of angle with which the line is inclined to the axis.
If the slope of a given straight line is m then the slope of its corresponding perpendicular line will be negative reciprocal of the given slope which is -(1/m).
It is said that the lines shown below are perpendicular. Also it is mentioned that the green line has a slope of -1/4 .
As the red line is perpendicular to the green line, thus its slope is negative reciprocal of the given slope of green line.
Slope = -(-4) = 4 .
Therefore, the slope of the red perpendicular line is 4.
To learn more about slope of perpendicular line, refer -
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