Question

A passenger rode the subway 2 blocks west and then 10 south. If all the blocks are the same length what is the value of the slope of the line from where the passenger began to where he finished

Answer 1

Answer:

The slope of the line is 5

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration which is attached below in order to help you understand the situation. As we are told the passenger rode the subway from point (0 , 0) to point (-2, 0). Then he rode the subway from point (-2, 0) to the final destination of point (-2 , -10). In order to find the value of the slope we need to use the slope formula which is

$Slope = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }$

Now we just plug in the values of the starting point and final destination in order to find the slope of the line.

$Slope = \frac{(-10) - (0)}{(-2)-(0)}$

$Slope = \frac{-10}{-2}$

$Slope =5$

Finally we can see that the slope of the line is 5

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