Question

unit exam: coordinate geometry
if $overleftrightarrow{jc}perpoverleftrightarrow{bt}$ and the slope of $overleftrightarrow{jc}=\frac{8}{7}$, find the slope of $overleftrightarrow{bt}$.
drag and drop the answers to the boxes to complete the sentences.
since $overleftrightarrow{jc}perpoverleftrightarrow{bt}$, we know that their slopes are
therefore, the slope of $overleftrightarrow{bt}$ is
$\frac{8}{7}$ equal $\frac{7}{8}$ reciprocals opposite reciprocals $-\frac{7}{8}$

Explanation:

Step1: Recall the property of perpendicular lines' slopes

If two lines are perpendicular, their slopes are opposite reciprocals.

Step2: Find the slope of \( \overleftrightarrow{BT} \)

Given the slope of \( \overleftrightarrow{JC} \) is \( \frac{8}{7} \). The opposite reciprocal of \( \frac{8}{7} \) is \( -\frac{7}{8} \).

Answer:

Since \( \overleftrightarrow{JC} \perp \overleftrightarrow{BT} \), we know that their slopes are opposite reciprocals. Therefore, the slope of \( \overleftrightarrow{BT} \) is \( -\frac{7}{8} \).