Line st & point v are shown on the graph

CORRECT ANSWER IS 3

The y-coordinate of point W is

Step-by-step explanation:

Step 1

Fin the slope of the line ST

we know that

The formula to calculate the slope between two points is equal to

we have

Substitute the values

Step 2

Find the slope of the line WV

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

so

------->

we have

substitute the value and solve for mWV

Step 3

Find the equation of the line WV into slope-intercept form

we have

 -------> see the graph Point V is the y-intercept of the line WV

substitute

Step 4

Find the y-coordinate of the point W

Substitute the the values of x and y of point W in the linear equation

therefore

the y-coordinate of point W is

If you want line VW to be perpendicular to line ST, which has slope 1/5, you want to find y such that
  (y-(-2))/(0-(-1)) = -1/(1/5) . . . . the perpendicular line has a slope that is the negative reciprocal of the slope of line ST.
  y + 2 = 5
  y = 3

Y = 3. 3 is the y coordinate for the point with an x coordinate of -1 that lies on the line with a negative reciprocal to line ST.