Question

2 of 42 of 4 Items


Question
How many solutions does this system have?

y = x + 5
y = –5x – 1
(1 point)
Responses

one
one

none
none

infinite
infinite

two
two

Answer 1

3 of 43 of 4 Items





Question
What is the solution of the system?

y = 5x + 4
y = 5x – 3

(1 point)
Responses

aOne line goes through the points left-parenthesis negative 2 comma negative 5 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis 0 comma negative 3 right-parenthesis and left-parenthesis 1 comma 2 right-parenthesis. No solutions is written below the graph.
Image with alt text: a One line goes through the points left-parenthesis negative 2 comma negative 5 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. The second line goes through the points left-parenthesis 0 comma negative 3 right-parenthesis and left-parenthesis 1 comma 2 right-parenthesis. No solutions is written below the graph.

bThe lines intersect at left-parenthesis 0 comma 4 right-parenthesis. The first line goes through the points left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis negative 1 comma negative 1 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis 1 comma negative 1 right-parenthesis.
Image with alt text: b The lines intersect at left-parenthesis 0 comma 4 right-parenthesis. The first line goes through the points left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis negative 1 comma negative 1 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis 1 comma negative 1 right-parenthesis.

c
Image with alt text: c

d

Answer 2

4 of 44 of 4 Items








Question
What is the solution of the system?

y = –5x – 2
y + 2 = –5x

(1 point)
Responses

coordinate grid from –5 to 5 on the horizontal axis and –5 to 5 on the vertical axis, one line passes through the points (–1, 3) and (0, –2) which are not labeled
Image with alt text: coordinate grid from –5 to 5 on the horizontal axis and –5 to 5 on the vertical axis, one line passes through the points (–1, 3) and (0, –2) which are not labeled

coordinate grid from –5 to 5 on the horizontal axis and –5 to 5 on the vertical axis, one line passes through the points (–1, 3) and (0, –2) which are not labeled. A second line is parallel to the first line and lies just to the left of it.
Image with alt text: coordinate grid from –5 to 5 on the horizontal axis and –5 to 5 on the vertical axis, one line passes through the points (–1, 3) and (0, –2) which are not labeled. A second line is parallel to the first line and lies just to the left of it.

coordinate grid from –5 to 5 on the horizontal axis and –5 to 5 on the vertical axis, one line passes through the point (–1, 2) which is not labeled and (0, –2) which is labeled. A second line passes through the point (0, –2) which is labeled and point (1, 3) which is not labeled.The lines intersect at left-parenthesis 0 comma negative 2 right-parenthesis. The first line goes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis negative 1 comma 3 right-parenthesis. The second line goes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 1 comma 3 right-parenthesis. The coordinates left-parenthesis 0 comma negative 2 right-parenthesis are written below the graph.
Image with alt text: coordinate grid from –5 to 5 on the horizontal axis and –5 to 5 on the vertical axis, one line passes through the point (–1, 2) which is not labeled and (0, –2) which is labeled. A second line passes through the point (0, –2) which is labeled and point (1, 3) which is not labeled. The lines intersect at left-parenthesis 0 comma negative 2 right-parenthesis. The first line goes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis negative 1 comma 3 right-parenthesis. The second line goes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 1 comma 3 right-parenthesis. The coordinates left-parenthesis 0 comma negative 2 right-parenthesis are written below the graph.

coordinate grid from –5 to 5 on the horizontal axis and –5 to 5 on the vertical axis, one line passes through the point (–1, –3) which is not labeled and (0, 2) which is labeled. A second line passes through the point (0, 2) which is labeled and point (1, –3) which is not labeled.

Answer 3

one

Answer 4

bThe lines intersect at (0, 4). The first line goes through the points (0, 4) and (-1, -1). The second line goes through the points (0, 4) and (1, -1).

Answer 5

coordinate grid from –5 to 5 on the horizontal axis and –5 to 5 on the vertical axis, one line passes through the point (-1, 2) which is not labeled and (0, -2) which is labeled. A second line passes through the point (0, -2) which is labeled and point (1, 3) which is not labeled. The lines intersect at (0, -2).