Answered: PC Which of the following equations is…

PC Which of the following equations is perpendicular to y = T – 3 and passes through the point (0,-11). O y =--11 Oy= z+6 +10 12

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 21E

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Question

POSS
Which of the following equations is perpendicular to y = T – 3 and passes through the point (0,-11).
O y =-- 11
O y= +6
Ov=-+10
Oy= - 12
1 2

Expert Solution

Step 1

Consider the given equation of the line,

$y = \frac{5}{6} x - 3$

Two lines are perpendicular to each other if the product of slopes of the lines is equal to $- 1$ .

Let the slope of the required line is m, then

$\begin{array}{rcl} m \times \frac{5}{6} & = & - 1 \\ m & = & - \frac{6}{5} \end{array}$

so the slope of the required line is $- \frac{6}{5}$ .

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