Question: The slope that passes through the points (-2,-3) and (8,-3) is ______ .
1)positive 2)negative 3)zero 4)undefined
I believe the answer is: zero.
How do I justify this?
Justify by knowing the definition of slope and using it in the question.
What did you get ?
you were right, but what made you "believe" it ?
go try your best not sure what the answer is
To justify that the slope passing through the points (-2,-3) and (8,-3) is zero, you can use the formula for finding the slope of a line. The formula for slope (m) is given by:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates are (-2,-3) and (8,-3). Plugging these values into the formula:
m = (-3 - (-3)) / (8 - (-2))
Simplifying:
m = (-3 + 3) / (8 + 2)
m = 0 / 10
m = 0
Since the value of m is 0, we can conclude that the slope passing through these two points is zero.
To justify your answer, you can calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates (-2,-3) and (8,-3), we get:
m = (-3 - (-3)) / (8 - (-2))
m = (-3 + 3) / (8 + 2)
m = 0 / 10
m = 0
Since the denominator is 0, the slope is undefined, not zero. Therefore, the correct answer is 4) undefined.