Question

Two lines are perpendicular. the slope of one line is -5/7 . what is the slope of the other line?. A)put responses in the correct input to answer the question. B)select a response, navigate to the desired input and insert the response. C)can be selected and inserted using the space bar, enter key, left mouse button or touchpad. D) the slope of the other line is response area because its slope is response area the slope of the first line.

Answer 1

The slope of the line perpendicular to the one with a slope of -5/7 is 7/5. This is because perpendicular lines have slopes that are negative reciprocals of each other.

Step-by-step explanation:

If two lines are perpendicular, the slope of one line is the negative reciprocal of the other. The negative reciprocal is found by flipping the fraction and changing the sign. For a line with a slope of -5/7, the slope of a line perpendicular to it would be 7/5 (negative reciprocal).

In the context of a line graph with an algebra equation such as y = mx + b, where m represents the slope and b represents the y-intercept, the steepness and direction of the line are determined by the slope m. For instance, if Line A has a slope of -4.7, it is a line with a steep negative slope, whereas if Line B has a slope of 12.0, it indicates a steep positive slope.