Use the image to answer the question.

Question

Four points and two intersecting lines are plotted on a coordinate plane. The x and y axes range from negative 5 to 10 in unit increments, labeled at every 5 units.

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 find which point is a solution for the simultaneous inequalities \( y > 4x - 2 \) and \( y \geq -13x + 2 \), we need to check the points given in the image (which I cannot see) against these inequalities.

1. For the first inequality \( y > 4x - 2 \):

   • We will substitute the x-value of each point into \( 4x - 2 \) and check if the y-value of the point is greater than the result.

2. For the second inequality \( y \geq -13x + 2 \):

   • We will substitute the x-value of each point into \( -13x + 2 \) and check if the y-value of the point is greater than or equal to the result.

If a point satisfies both inequalities, then it is a solution. Please provide the coordinates of the points on the graph, and I can help determine which point (if any) is a solution to the inequalities.