Question

Which system is represented by the graph? may you please tell me the correct answer and tell me why

Two lines are graphed on a coordinate plane. One line passes through points left parenthesis 0 comma negative 1 right parenthesis and left parenthesis 1 comma 2 right parenthesis. The other line passes through points left parenthesis 0 comma negative 2 right parenthesis and left parenthesis 1 comma 1 right parenthesis.
(1 point)
Responses

y equals 3 x minus 2 line break y equals 3 x minus 1
Image with alt text: y equals 3 x minus 2 line break y equals 3 x minus 1

y equals negative 3 x minus 2 line break y equals negative 3 x minus 1
Image with alt text: y equals negative 3 x minus 2 line break y equals negative 3 x minus 1

y equals one-third x minus 2 line break y equals one-third x minus 1
Image with alt text: y equals one-third x minus 2 line break y equals one-third x minus 1

y equals 3 x plus 2 line break y equals 3 x plus 1

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is:

y = 3x - 1
y = 3x + 2

This is because the first line passes through points (0, -1) and (1, 2), so the slope is (2 - (-1)) / (1 - 0) = 3. The y-intercept is -1. Therefore, the equation is y = 3x - 1.

The second line passes through points (0, -2) and (1, 1), so the slope is (1 - (-2)) / (1 - 0) = 3. The y-intercept is -2. Therefore, the equation is y = 3x + 2.