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
(1, 5)
left parenthesis 1 comma 5 right parenthesis
(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis
(5,−1)
1 answer
The solution to the system of equations represented by the lines \(y = 5x + 10\) and \(y = -2x + 3\) is the point where the two lines intersect. According to your description, the lines intersect at \((-1, 5)\).
Therefore, based on the graph, the correct response is:
(−1, 5)
