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Answer :
To find the equation of a line that is perpendicular to another line, we need the negative reciprocal of the original line's slope.
1. Understand the concept of perpendicular slopes:
- If a line has a slope [tex]\( m \)[/tex], a line that is perpendicular to it will have a slope of [tex]\( -\frac{1}{m} \)[/tex].
2. Given slope: The slope of the original line is [tex]\( -\frac{5}{6} \)[/tex].
3. Find the negative reciprocal:
- The negative reciprocal of [tex]\( -\frac{5}{6} \)[/tex] is [tex]\( \frac{6}{5} \)[/tex].
4. Result: Therefore, any line that has a slope of [tex]\( \frac{6}{5} \)[/tex] will be perpendicular to a line with a slope of [tex]\( -\frac{5}{6} \)[/tex].
So, you can identify the perpendicular line by checking if any lines (JK, LM, NO, PQ) have this slope value. Ensure the slope of a line given in the problem matches [tex]\( \frac{6}{5} \)[/tex].
1. Understand the concept of perpendicular slopes:
- If a line has a slope [tex]\( m \)[/tex], a line that is perpendicular to it will have a slope of [tex]\( -\frac{1}{m} \)[/tex].
2. Given slope: The slope of the original line is [tex]\( -\frac{5}{6} \)[/tex].
3. Find the negative reciprocal:
- The negative reciprocal of [tex]\( -\frac{5}{6} \)[/tex] is [tex]\( \frac{6}{5} \)[/tex].
4. Result: Therefore, any line that has a slope of [tex]\( \frac{6}{5} \)[/tex] will be perpendicular to a line with a slope of [tex]\( -\frac{5}{6} \)[/tex].
So, you can identify the perpendicular line by checking if any lines (JK, LM, NO, PQ) have this slope value. Ensure the slope of a line given in the problem matches [tex]\( \frac{6}{5} \)[/tex].
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