Final answer:
To find the slope of a line passing through two given points, we use the formula: slope = (change in y)/(change in x). The slope for the points (7,4) and (7,-8) is undefined, and the slope for the points (-7,9) and (5,9) is 0.
Step-by-step explanation:
To find the slope of a line passing through two given points, we use the formula:
slope = (change in y)/(change in x)
Let's apply this formula to the given points:
(7, 4) and (7, -8)
slope = (-8 - 4)/(7 - 7) = -12/0
Since the denominator is zero, the slope is undefined.
Now let's calculate the slope for the points (-7, 9) and (5, 9)
slope = (9 - 9)/(5 - (-7)) = 0/12 = 0
Therefore, the slope of the line passing through the points (7, 4) and (7, -8) is undefined, and the slope of the line passing through the points (-7, 9) and (5, 9) is 0.