A botanist (plant biologist) studies a plant called Foxtail Ferns for a living. (How exciting.) She is interested in doing an experiment to see what
combination of temperature and humidity they grow best in. So, she sets up
four different rooms: ROOM ONE is High Temp, High Humidity. ROOM
TWO is High Temp, Low Humidity. ROOM THREE is Low Temp, High
Humidity. ROOM FOUR is Low Temp, Low Humidity. She puts ten Foxtail
Ferns in each of these rooms. At the end of the week-long experiment, she
measures the Ferns' height and finds the average height of the plants in each
room. For this experiment, what is the I. V. (Independent Variable)?
O The height of the plants after one week
O Foxtail Ferns
Which room (temp/humidity combination) the plants are in

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).