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)
1 answer
The solution to the system of the given linear equations is the point where the two lines intersect. According to the information provided, the lines intersect at the point \((-1, 12)\).
Based on the choices provided, the correct response is:
\((-1, 12)\)
So, the correct answer is: (−1, 12).
