Answer:
y = -x - 1
Explanation:
Using the process of elimination, we can immediately eliminate b) (y = 2x - 3).
Why? It has a slope of 2, and our answer wants a line with a slope of -1.
y = mx + b
To find the line that goes through (2, -3), we substitute our 3 answer choices (A, C, and D) with 2 (for x-values) and -3 (for y-values).
(2, -3)
y = -x - 1
-3 = -2 - 1
-3 = -3
This statement is true
(2, -3)
y = -x - 3
-3 = -2 - 3
-3 = -5
This statement is false
(2, -3)
y = -x + 2
-3 = -2 + 2
-3 = 0
This statement is false
Therefore, the correct answer is a) y = -x - 1
*View the graph to verity the answer*
Hope this helps!