geometry help!!
which of the following equations is parallel to the line passing through a(-2 7) b(-2 -2)
Are you going to type in the choices? If you noticed that (-2, 7) and (-2, -2) have the same x value. Therefore you can conclude something about this line. What is it?
the choices are y=-2 y=x 3x=5 -2x=7y
What can you conclude about a line that has two points on it with the same x value?
i dont know i am really bad at math
It means the line is parallel to the y axis. The x value is always the same on this line. You can even say the equation of the line joining points a and b is: x = -2.
If you go through the choices you will see one equation where x always stays the same. That line is also parallel to the y axis and therefore parallel to the original line ab. Which one has the same value for x among the 4 choices?
b?
Not b. There y = x. It means when x = 6, y = 6, x = 8, y = 8. So the x and y value keep changing. It will be a 45 degree line if you graph y = x. The first one had y always equal -2. So it will be parallel to the x axis. But we are looking for an equation where x is always the same. If you look at 3) 3x = 5 Divide both sides by 3 x = 5/3. So the x always stays at 3/5 for this line. It is a line parallel to the y axis and therefore parallel to our original line ab which was also parallel to the y axis. So the third choice is our answer.
thank you
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