Point J has an x coordinate of x = a Point G has a y coordinate of y = a So point H has the coordinates (x,y) = (a,a) We simply move straight up from point J to get to H. At the same time, we move horizontally across to go from G to H. This is why H has half the coordinates from each J and G
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As for the slope of GJ, we use the slope formula m = (y2-y1)/(x2-x1) m = (0-a)/(a-0) m = -a/a m = -1 So that shows why the slope of GJ is -1
Multiplying the slope of KH (1) and the slope of GJ (-1), we get 1 times -1 = -1 The product being -1 shows the diagonals KH and GJ are perpendicular. They form a 90 degree angle.
a simple way to do away with denominators, is we can simply multiply both sides by the LCD, in this case the LCD is 3, so let's multiply both sides by 3.
The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9
