Jane, jasmine, and jocelyn have record collections. jane has 3 times as many records as jocelyn has. jasmine has 2 more than twice the number jocelyn has. together the three girls have 56 records. how many records does each girl have?

X = jane, y = jasmine, z = jocelyn

x + y + z = 56
x = 3z
y = 2z + 2

3z + 2z + 2 + z = 56
6z + 2 = 56
6z = 56 - 2
6z = 54
z = 54/6
z = 9 < jocelyn

x = 3z
x = 3(9)
x = 27 <=== jane

y = 2z + 2
y = 2(9) + 2
y = 18 + 2
y = 20 <=== jasmine

y-0=3/-2(x-2)

Step-by-step explanation:

1) When it asks for an equation for a line passing through two coordinates it's referring to point-slope form. Point-slope form: y-y1=m(x-x1)

2) In order to put in in point-slope form you must first get the slope(m), the y1 and x1 values (which the x and y value are always given).

3) Use the slope equation (y2-y1/x2-x1) plugging in your x and y coordinates to find the slope. So in this case 3-0/0-2, so slope equals 3/-2.

4) Plug your slope into m, y1 (in this case 0), and x1 (in this case 2) values into the equation formula.

5) Your finished and left with your answer! Congrats...