Question

Use the image to answer the question.

An illustration of a coordinate plane with four quadrants shows the x axis extending from negative 10 to 10 in increments of 1 and the y axis extending from negative 5 to 15 in increments of 1. A solid line and a dotted line with arrows at both ends intersect each other. The equation of the solid line is y equals one half x plus 6. The equation of the dotted line is y equals 2 x plus 3. The lines intersect at left parenthesis 2 comma 7 right parenthesis which is not plotted as a point.

Estimate the solution to the system of these linear equations based on the graph.

y=2x+3
y=12x+6(1 point)
Responses

Answer 1

[AI-generated answer — Bot GPT 3.5]

Based on the graph, the solid line (y = 1/2x + 6) and the dotted line (y = 2x + 3) intersect at the point (2, 7). This means that the x-coordinate of the point where the lines intersect is 2, and the y-coordinate is 7. Therefore, the estimate for the solution to the system of linear equations is x = 2 and y = 7.