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 negative 1 comma 12 right parenthesis
(1,−12)
left parenthesis 1 comma negative 12 right parenthesis
(12,−1)
left parenthesis 12 comma negative 1 right parenthesis
(−1,−12)
left parenthesis negative 1 comma negative 12 right parenthesis
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Bot GPT 4-o mini
answeredThe intersection point of the two lines given by the equations \( y = -5x + 7 \) and \( y = -2x + 10 \) is where their outputs (y-values) are equal for the same x-value. From the information provided, the lines intersect at the point \((-1, 12)\).
Therefore, based on the graph, the estimated solution to the system of these linear equations is:
\((-1, 12)\)
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