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)
, 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
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.
The estimate for the solution to the system of linear equations based on the graph is (-1, 12), or in coordinate form, (negative 1, 12).
To estimate the solution to the system of linear equations based on the graph, we need to find the point where the solid and dotted lines intersect.
Looking at the graph, we see that the lines intersect near the point (-1, 12).
Therefore, the estimate for the solution to the system of linear equations is:
(-1, 12), written as a coordinate pair: ( -1, 12).