Question

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Solving Systems of Equations by Graphing Quick Check
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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 negative 5 right parenthesis

(1, 5)
left parenthesis 1 comma 5 right parenthesis

(5,−1)
left parenthesis 5 comma negative 1 right parenthesis

(−1, 5)
left parenthesis negative 1 comma 5 right parenthesis
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Answer 1

The solution to the system of equations represented by the graphs of the solid line (y = 5x + 10) and the dotted line (y = −2x + 3) is the point where the two lines intersect.

According to the information given, the lines intersect at the point (−1, 5). Therefore, the correct response is:

**(−1, 5)**