Line VW is to be drawn on the graph such that it is perpendicular to line . If the coordinates of point W are (–1, y), what is the value of y?Y=

The value of y is 3.

Since the lines are to be perpendicular, that means that their slopes must be negative reciprocals of each other.

First we find the slope of line ST.  The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting our coordinates (using point T as point 2 and point S as point 1), we have:
[tex]m=\frac{2-0}{5--5}=\frac{2-0}{5+5}=\frac{2}{10}=\frac{1}{5}[/tex]

Since the slope of line VW must be the negative reciprocal of 1/5, it would be -5/1=-5.

The coordinates of V are (-2, 0).  Using V as point 1 and W as point 2, in our slope formula for this line we have:
[tex]-5=\frac{-2-y}{0--1}=\frac{-2-y}{0+1}=\frac{-2-y}{1}=-2-y \\ \\-5=-2-y[/tex]

Add 2 to both sides:
-5+2=-2-y+2
-3=-y

Divide both sides by -1:
-3/-1=-y/-1
3=y