Use the image to answer the 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)

(1,−12)

(12,−1)

(−1, 12)

1 answer

The lines intersect at the point \((-1, 12)\). Therefore, the estimated solution to the system of the given linear equations based on the graph is:

\((-1, 12)\)