Question

Write the equation of the linear function shown on the graph.
(1 point)
Responses

y=−2x−2

y equals negative 2 x minus 2
y=−2x+2
y equals negative 2 x plus 2
y=2x+2
y equals 2 x plus 2
y=2x−2

Answer 1

To determine the equation of the linear function shown on the graph, you'll need two key pieces of information: the slope and the y-intercept.

From the responses provided, let's analyze the possible equations based on the slope:

1. **y = -2x - 2**: This indicates a slope of -2 and a y-intercept of -2.
2. **y = -2x + 2**: This indicates a slope of -2 and a y-intercept of +2.
3. **y = 2x + 2**: This indicates a slope of +2 and a y-intercept of +2.
4. **y = 2x - 2**: This indicates a slope of +2 and a y-intercept of -2.

With these clarifications, if the line goes downwards as you move from left to right, the slope would be negative, indicating that the correct equation would likely be either **y = -2x - 2** or **y = -2x + 2**.

If the graph shows the y-intercept above the origin, then **y = -2x + 2** would be correct. If the graph shows the y-intercept below the origin, then **y = -2x - 2** would be the answer.

You would need to refer to the specific graph to determine the correct answer.