$\overset{\leftrightarrow}{AB}$ contains the points A(–3, 3) and B(1, 4). $\overset{\leftrightarrow}{YZ}$ contains the points Y(–4, 7) and Z(–2, y). $\overset{\leftrightarrow}{AB}$ and $\overset{\leftrightarrow}{YZ}$ are perpendicular. Find the value of the y-coordinate of point Z.

A. y = –1
B. y = 1
C. y = 8
D. y = 15

Please select the best answer from the choices provided

A
B
C
D

Question

$\overset{\leftrightarrow}{AB}$ contains the points A(–3, 3) and B(1, 4). $\overset{\leftrightarrow}{YZ}$ contains the points Y(–4, 7) and Z(–2, y). $\overset{\leftrightarrow}{AB}$ and $\overset{\leftrightarrow}{YZ}$ are perpendicular. Find the value of the y-coordinate of point Z.

A. y = –1
B. y = 1
C. y = 8
D. y = 15

Please select the best answer from the choices provided

A
B
C
D

jhonyy9 · Answer

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dude · Answer

Added missing information

Mercury · Answer

old question but will respond so this can be closed

use the slope formula to find the slope of AB
take the opposite reciprocal to find the slope of YZ

then, to find the y-coordinate on (-2,y):
take point Y(-4,7) along with the slope of YZ, plug into y = mx + b, solve for b
re-write y = mx + b
then plug in x = -2 and find the resulting y-value