Your question is incomplete. please read below to find the full content.
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:
m = y² - y₁ ÷ x² - x₁
Substituting our coordinates (using point T as point 2 and point S as point 1), we have:
m = 2- 0/ 5--5 = 2 - 0/ 5 + 5 = 2/10 = 1/5
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:
-5 = -2 -y/0--1 = -2 -y/ 0 + 1 = -2 -y/ 1 = -2 -y
-5 = -2 -y
Add 2 to both sides:
-5+2=-2-y+2
-3=-y
Divide both sides by -1:
-3/-1=-y/-1
3=y.
Your graph is missing in this question. Please check the attached file for the complete question.
Learn more about coordinates at
https://brainly.com/question/17206319
#SPJ2
