What is the slope of the line
2 answers:
Answer:
-2
Step-by-step explanation:
First, pick two points on the line; I am using (0, -1) and (-2, 3). Put it into point-slope form, like this: . Solve to get
, or -2. This is your slope. Another way to find it is to find one point on the line and count how many points it is up or down from the first point, in this case that number is 4, and how many to the right or left, which in this case is 2 to the left. Moving left is negative, so it becomes -2.
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We can write the system in the following form:
![\left[\begin{array}{cccc}5&-4&4&2\end{array}\right] \left[\begin{array}{c}x_1\\x_2\\x_3\\x_4\end{array}\right] =b](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D5%26-4%264%262%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx_1%5C%5Cx_2%5C%5Cx_3%5C%5Cx_4%5Cend%7Barray%7D%5Cright%5D%20%20%3Db)
The above system is equivalent to the following equation:
Of course, the above system has solution for any values of b since there is one equation and four variable, there is infinite number of solution each time.
The above system is equivalent to the following equation:
Of course, the above system has solution for any values of b since there is one equation and four variable, there is infinite number of solution each time.