The equations x minus y = 2, x minus 2 y = negative 2, x + y = 2, and x + 2 y = negative 2 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 2) and (2, 0). Orange line goes through (2, 0) and (0, negative 2). Pink line goes through (2, negative 2), and (0, negative 2). Blue line goes through (0, negative 2) and (2, 2). Which system of equations has a solution of approximately (0.7, –1.4)? x minus y = 2 and x + 2 y = negative 2 x minus 2 y = negative 2 and x + y = 2 x minus y = 2 and x minus 2 y = negative 2 x + y = 2 and x + 2 y = negative 2

  x - y = 2   and   x + 2y = -2

Step-by-step explanation:

Since you have the graph, you can easily see that the point of interest is nearest the intersection of the orange and pink lines.

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Recognizing that the intercepts of a line in standard form are ...

  ax +by =c

  x-intercept: c/a

  y-intercept: c/b

You can easily determine the corresponding intercepts for the given lines. We can tell from the graph that we only need to know what the y-intercept is in order to match the equation to the line. Here are the y-intercepts:

The system of equations with the desired solution is ...

  x -y = 2  and  x +2y = -2

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: