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Answer:
Step-by-step explanation:
First of all, I drawed this graph and uploaded it for you...
We know that a line equation is y = ax + b and I want to know which equation goes through the points (-1, -5) and (1, -1).
Let's put these points in the algebreac expression of line to find the correct equation:
-5 = a. (-1) + b
-1 = a.(1) + b
solving this system of equation by elimination, we find 2b = -6 and b = -3.
Then, -5 = -a + (-3)
-a = -5 + 3
a = 2
Finally, our line equation is y = 2x - 3
The slope also is represented by a. So, the slope is 2.
