Abase of a parallelogram is on the x-axis and the origin is located at the left endpoint of that base. three consecutive vertices are (h, j), (0, 0), and (k, 0), where h > 0. what is the y- coordinate of the fourth vertex?

The fourth vertex is (k + h, j).

(See attached picture.) The fourth vertex is at the same height as the point (h, j), so its second coordinate is j. The first coordinate is the sum k + h because the fourth vertex is just as far to the right of (k, 0) as the point (h, j) is from the y-axis.

I hope this helps!

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.