The solution to the system of linear equations is the point where the two lines intersect. According to the information provided, the lines intersect at the point (2, 7).
Therefore, the correct response is (2, 7).
Systems of Linear Equations Unit Test
2 of 142 of 14 Items
Question
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x axis extending from negative 10 to 10 in increments of 1 and the y axis extending from negative 5 to 15 in increments of 1. A solid line and a dotted line with arrows at both ends intersect each other. The equation of the solid line is y equals one half x plus 6. The equation of the dotted line is y equals 2 x plus 3. The lines intersect at left parenthesis 2 comma 7 right parenthesis which is not plotted as a point.
Estimate the solution to the system of these linear equations based on the graph.
y=2x+3
y=12x+6
(1 point)
Responses
(−2, 7)
left parenthesis negative 2 comma 7 right parenthesis
(2,−7)
left parenthesis 2 comma negative 7 right parenthesis
(7, 2)
left parenthesis 7 comma 2 right parenthesis
(2, 7)
1 answer