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Use the image to answer the question.

A line passes through two points plotted on a coordinate plane.

Which formula is accurately illustrated by the graph?

(1 point)
Responses

y=−x−3
y equals negative x minus 3

y=x+3
y equals x plus 3

y=x−3
y equals x minus 3

y=−x+3

1 answer

To determine which formula is accurately illustrated by the graph, we need to consider the characteristics of each equation.

  1. y = -x - 3: This line has a negative slope and crosses the y-axis at -3.
  2. y = x + 3: This line has a positive slope and crosses the y-axis at 3.
  3. y = x - 3: This line has a positive slope and crosses the y-axis at -3.
  4. y = -x + 3: This line has a negative slope and crosses the y-axis at 3.

If the line on your graph has a negative slope and crosses the y-axis at -3, then the correct answer is y = -x - 3. If it has a positive slope crossing at +3, then the answer would be y = x + 3, and so on.

Without seeing the graph, I can't definitively choose the correct equation. Please refer to the characteristics of the line you see in the graph to select the appropriate equation!