Use the image to answer the question.

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 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)
left parenthesis negative 2 comma 7 right parenthesis

Answer 1

(2, 7)
left parenthesis 2 comma 7 right parenthesis

Answer 2

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 3 x minus 2. The equation of the dotted line is y equals negative x plus 6. The lines intersect at left parenthesis 2 comma 4 right parenthesis which is not plotted as a point.

Estimate the solution to the system of these linear equations based on the graph.

y=−x+6

y=3x−2

(1 point)
(
)

Answer 3

(2, 4)
left parenthesis 2 comma 4 right parenthesis

Answer 4

Determine the number of solutions to this system of linear equations:
2x+y=6
4x+2y=8(1 point)
Responses

1
1

0
0

infinite
infinite

2