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Answer:
C. y = 2x - 3
Explanation:
The y-intercept (b) can be found from ...
y = mx + b
y - mx = b . . . . . subtract mx
Here, you are given (x, y) = (-1, -5) and slope m = 2.
b = -5 -2(-1) = -5+2 = -3
The correct equation is ...
y = 2x -3 . . . . . matches choice C
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On the graph, you can plot point (-1, -5) left of the y-axis 1 unit and down from the x-axis 5 units. The slope of 2 tells you the line will rise 2 units from there to a y-value of -3 when it runs 1 unit to the right to an x-value of 0. That point (0, -3) is the y-intercept, showing you that choice C is correct.