STEP 1
we find the slope of ZY
[tex]\text{Slope(ZY) =}\frac{y_2-y_1}{x_{2\text{ }}-x_1}=\frac{-7-(-5)}{-1-(-4)}=\frac{-2}{3}[/tex]
STEP 2
We find the slope of WZ
Since WZ is perpendicular to ZY
Therefore slope of WZ
[tex]\text{Slope(WZ) = }\frac{-1}{\text{Slope(ZY)}}\text{ = }\frac{-1}{\frac{-2}{3}}=\frac{3}{2}[/tex]
Therefore the correct answer is B
