14. [-/1 Points] DETAILS MY NOTES TGEIALG5 3.4.087. Find the slope of a line perpendicular to the line passing through the given two points. $$ (-1,3) $$ and $$ (1,8) $$ SUBMIT ANSWER

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UpStudy AI · Accepted Answer

**Step 1:** Calculate the slope of the line passing through the points $$ (-1,3) $$ and $$ (1,8) $$.

$$
m = \frac{8 - 3}{1 - (-1)} = \frac{5}{2}
$$

**Step 2:** The slope of a line perpendicular to another is the negative reciprocal of the original slope. Thus, the perpendicular slope is:

$$
m_{\perp} = -\frac{1}{m} = -\frac{1}{\frac{5}{2}} = -\frac{2}{5}
$$

**Final Answer:**

$$
-\frac{2}{5}
$$
The slope of the perpendicular line is $$-\frac{2}{5}$$.

[-/1 Points] DETAILS MY NOTES TGEIALG5 3.4.087.
Find the slope of a line perpendicular to the line passing through the given two points.
and
SUBMIT ANSWER

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[-/1 Points] DETAILS MY NOTES TGEIALG5 3.4.087. Find the slope of a line perpendicular to the line passing through the given two points. and SUBMIT ANSWER