Question
AB←→ is perpendicular to CD←→ . If AB←→ has a slope of 85 what is the slope of CD←→ ? (1 point) Responses −85 negative 8 over 5 8−5 8 over negative 5 85 8 fifths −58
Answers
GPT-4o mini
If the line \( AB \) has a slope of \( 85 \) and is perpendicular to line \( CD \), then the slopes of the two lines are negative reciprocals of each other.
The negative reciprocal of a slope \( m \) is given by \( -\frac{1}{m} \).
Here, the slope of line \( AB \) is \( 85 \):
\[
\text{slope of } CD = -\frac{1}{85}
\]
Since \( 85 \) can be represented as \( \frac{85}{1} \), the negative reciprocal can be expressed as:
\[
-\frac{1}{85} = -\frac{1}{85}
\]
Thus, the slope of \( CD \) is:
\[
-85 \text{ (not this one)}, \quad -\frac{1}{85} \text{ (not an option)}, \quad 8 - 5 \text{ (not a slope)}, \quad \frac{8}{-5} \text{ (not related)}, \quad 85 \text{ (not this one)}, \quad \frac{8}{5} \text{ (not text)}, \quad -58 \text{ (not related)}
\]
None of the specific slope options listed directly include \(-\frac{1}{85}\) or its equivalent. Therefore, it seems that the proper answer is not among the provided responses. You might want to double-check the actual choices. Nevertheless, if you ever needed a perpendicular slope to \( 85 \), the answer is:
\[
-\frac{1}{85}
\]
The negative reciprocal of a slope \( m \) is given by \( -\frac{1}{m} \).
Here, the slope of line \( AB \) is \( 85 \):
\[
\text{slope of } CD = -\frac{1}{85}
\]
Since \( 85 \) can be represented as \( \frac{85}{1} \), the negative reciprocal can be expressed as:
\[
-\frac{1}{85} = -\frac{1}{85}
\]
Thus, the slope of \( CD \) is:
\[
-85 \text{ (not this one)}, \quad -\frac{1}{85} \text{ (not an option)}, \quad 8 - 5 \text{ (not a slope)}, \quad \frac{8}{-5} \text{ (not related)}, \quad 85 \text{ (not this one)}, \quad \frac{8}{5} \text{ (not text)}, \quad -58 \text{ (not related)}
\]
None of the specific slope options listed directly include \(-\frac{1}{85}\) or its equivalent. Therefore, it seems that the proper answer is not among the provided responses. You might want to double-check the actual choices. Nevertheless, if you ever needed a perpendicular slope to \( 85 \), the answer is:
\[
-\frac{1}{85}
\]