Respuesta :

To calculate the slope of a line, you only need two points from that line, (x1, y1) and (x2, y2).

The equation used to calculate the slope from two points is:

(y2 - y1) / (x2 - x1)

#1:

First point : (5 ,7) = (x1, y1)

Second point : (2, -2) = (x2, y2)

Equation : (-2 - 7) / (2 - 5)

Solve the equation:

(-2 - 7) = -9

(2 - 5) = -3

-9/-3 = 3 (a negative number divided by a negative number gives you a positive number)

The slope of the line in #1 is : 3


#3:

First point : (5, 9) = (x1, y1)

Second point : (5, -2) = (x2, y2)

Equation : (-2 - 9) / (5 - 5)

Solve the equation:

In this case, you don't need to solve anything, because anything divided by zero will give you 0 (5 minus 5 = 0).

The slope of the line in #3 is : 0


Answer: The answer to #3 is undefined while the answer to question 1 is 3 the slope is 3.


Step-by-step explanation: Using rise over run for question 1 we fin that going either 3 units up and then 1 unit to the right gives us the whole 3/1.

Or we could either go 6 units up and then 2 units to the right which gives us the fraction 6/2 which simplified is 3.

Hope this helps!


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