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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
(5,−1)
left parenthesis 5 comma negative 1 right parenthesis
(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis
(−1, 5)
left parenthesis negative 1 comma 5 right parenthesis
(1, 5)
left parenthesis 1 comma 5 right parenthesis
1 answer
The intersection point of the two lines represented by the equations \( y = 5x + 10 \) (solid line) and \( y = -2x + 3 \) (dotted line) is the solution to the system of equations. According to the information provided, the two lines intersect at the point \( (-1, 5) \).
Therefore, the estimated solution to the system of these linear equations based on the graph is:
(−1, 5) (left parenthesis negative 1 comma 5 right parenthesis)
