Question

Use the image to answer the question.



Which of the points on the graph is a solution for the simultaneous inequalities y>4x−2
and y≥−13x+2?
Enter the x-value followed by the y-value.

(1 point)

Answer 1

To determine which point on the graph is a solution for the simultaneous inequalities \( y > 4x - 2 \) and \( y \geq -13x + 2 \), you need to analyze the inequalities based on their corresponding lines.

1. **Graph the lines:**
- For \( y = 4x - 2 \):
- This line has a slope of 4 and a y-intercept of -2. The area above this line (where \( y > 4x - 2 \)) is the solution for the first inequality.
- For \( y = -13x + 2 \):
- This line has a slope of -13 and a y-intercept of 2. The area above or on this line (where \( y \geq -13x + 2 \)) is the solution for the second inequality.

2. **Identify the solution region:**
- The solution region for the simultaneous inequalities is where the regions determined by both inequalities overlap.

3. **Check the points given on the graph** to see which one lies in the overlapping region.

Since I don't have access to the image or graph you are referencing, please locate the points on the graph that fall within the above-mentioned regions.

Once you've identified a valid point:
- Enter the x-value followed by the y-value of that point.

If you provide the points or more specific details, I can help verify if they satisfy the inequalities.