Which graph represents the solution to the given system?

Question

Which graph represents the solution to the given system?

y = –4x + 4
y = one-halfx – 2
(1 point)
Responses

A coordinate plane with two lines graphed, intersecting at (four-thirds, negative four-thirds).
Image with alt text: A coordinate plane with two lines graphed, intersecting at (four-thirds, negative four-thirds).

A coordinate plane with two lines graphed, intersecting at (negative twelve-sevenths, negative twenty-sevenths).
Image with alt text: A coordinate plane with two lines graphed, intersecting at (negative twelve-sevenths, negative twenty-sevenths).

A coordinate plane with two lines graphed, intersecting at (negative four-thirds, negative four-thirds).
Image with alt text: A coordinate plane with two lines graphed, intersecting at (negative four-thirds, negative four-thirds).

A coordinate plane with two lines graphed, intersecting at (negative four-ninths, twenty-ninths).
Image with alt text: A coordinate plane with two lines graphed, intersecting at (negative four-ninths, twenty-ninths).
How many solutions does the system of equations have?

y equals negative 2 x plus 9 line break 6 x plus 3 y equals 27
(1 point)
Responses

one
one

two
two

infinitely many
infinitely many

none
Which inequality represents the graph below?

A coordinate graph shows a shaded area covering all positive and negative values of x and positive and negative values of y up to 3.
(1 point)
Responses

y ≥ 3
y ≥ 3

y ≤ 3
y ≤ 3

y ≤ –3
y ≤ –3

x ≤ 3
Bradley and Ryan are having a contest to see who can collect the most bumper stickers. Bradley started with 23 bumper stickers and plans to add 4 each month. Ryan has 9 bumper stickers and plans to add 6 each month. After how many months will they have the same number of bumper stickers?
(1 point)
Responses

10 months
10 months

2 months
2 months

7 months
7 months

51 months
Which system is represented by the graph?

Two lines are graphed on a coordinate plane. One line passes through points left parenthesis 0 comma negative 1 right parenthesis and left parenthesis 1 comma 2 right parenthesis. The other line passes through points left parenthesis 0 comma negative 2 right parenthesis and left parenthesis 1 comma 1 right parenthesis.
(1 point)
Responses

y equals 3 x minus 2 line break y equals 3 x minus 1
Image with alt text: y equals 3 x minus 2 line break y equals 3 x minus 1

y equals negative 3 x minus 2 line break y equals negative 3 x minus 1
Image with alt text: y equals negative 3 x minus 2 line break y equals negative 3 x minus 1

y equals one-third x minus 2 line break y equals one-third x minus 1
Image with alt text: y equals one-third x minus 2 line break y equals one-third x minus 1

y equals 3 x plus 2 line break y equals 3 x plus 1