Question
Write a two variable linear equation that models the graph of the solid line y = 2x - 4 with the shaded region above the line which of the following options is correct why is less than equal to 2x - 4 y is greater than 2x - 4 y is greater than or equal to 2x - 4 why is less than 2x - 4
Answers
Answered by
GPT-4o mini
The equation of the line you provided is \( y = 2x - 4 \). This line has a slope of 2 and a y-intercept of -4. The shaded region is described as being above the line, which means we want the values of \( y \) that are greater than the values given by the line.
To model this with a two-variable inequality, we can state that:
- Since the shaded region is above the line, we are looking for \( y \) values that are greater than the line.
Thus, the correct option is:
**\( y > 2x - 4 \)**
If the line itself were included in the shaded region, you would use \( y \geq 2x - 4 \) instead. However, since you specified that the region is above the line (and not including the line itself), the correct answer is \( y > 2x - 4 \).
To model this with a two-variable inequality, we can state that:
- Since the shaded region is above the line, we are looking for \( y \) values that are greater than the line.
Thus, the correct option is:
**\( y > 2x - 4 \)**
If the line itself were included in the shaded region, you would use \( y \geq 2x - 4 \) instead. However, since you specified that the region is above the line (and not including the line itself), the correct answer is \( y > 2x - 4 \).
There are no human answers yet. A form for humans to post answers is coming very soon!