Question

Which equation in slope intercept represents the line that goes through the points (-1, -5) and (1, -1)

Answer 1

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.