An ice cream shop started with 80 waffle cones in stock when it opened for the day. the table shows points representing the number of waffle cones left in stock after serving the given number of customers.

let x = the number of customers served and y = the number of waffle cones left.

select each of the following equations in point-slope form that represents the number of waffle cones left in stock. (choose all correct answers)

a. y−72=−23(x−12)y−72=−23(x−12)

b. y−24=23(x−64)y−24=23(x−64)

c. y−64=−23(x−24)y−64=−23(x−24)

d. y−72=−32(x−12)y−72=−32(x−12)

e. y−56=−23(x−36)y−56=−23(x−36)

f. y−24=−23(x−64)y−24=−23(x−64)

g. y−56=23(x−36)y−56=23(x−36)

h. y−36=−32(x−56)

i have attached the graph answer asap

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.