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Question
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 10 to 10 in increments of 1. A solid line and a dotted line with arrows at both the ends intersect each other. The equation of the solid line is y equals 5 x plus 10. The equation of the dotted line is y equals negative 2 x plus 3. The lines intersect at left parenthesis negative 1 comma 5 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+10
y=−2x+3
(1 point)
Responses
(−1, 5)
left parenthesis negative 1 comma 5 right parenthesis
(5,−1)
left parenthesis 5 comma negative 1 right parenthesis
(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis
(1, 5)
1 answer
Based on the description provided, the solution to the system of linear equations represented by the solid line \(y = 5x + 10\) and the dotted line \(y = -2x + 3\) is where the two lines intersect.
You mentioned that the lines intersect at \( (-1, 5) \). Therefore, the correct response for the estimate of the solution to the system of equations based on the graph is:
(−1, 5)
