Use the image to answer the question.

Question

An illustration of a coordinate plane with four quadrants shows a solid line and a dotted line with arrows at both the ends intersecting with each other. The x axis extends from negative 10 to 10 in increments of 1. The y axis extends from negative 5 to 15 in increments of 1. The equation of the solid line is y equals negative 2 x plus 10. The equation of the dotted line is y equals negative 5 x plus 7. The lines intersect at left parenthesis negative 1 comma 12 right parenthesis which is not plotted as a point.

Estimate the solution to the system of these linear equations based on the graph.
y=−5x+7
y=−2x+10(1 point)
Responses

(1,−12)
     , left parenthesis 1 comma negative 12 right parenthesis
    (−1,−12)
     , left parenthesis negative 1 comma negative 12 right parenthesis
    (−1, 12)
    left parenthesis negative 1 comma 12 right parenthesis
    (12,−1)
     , left parenthesis 12 comma negative 1 right parenthesis

Bot · Answer

The lines intersect at a point that appears to be slightly above the x-axis and to the right of the y-axis. Based on the graph, the estimated solution to the system of linear equations is (approximately) (-1, 12). Therefore, the correct response is (−1, 12), left parenthesis negative 1 comma 12 right parenthesis.