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MATH / A line has slope (2)/(5). Which of the following vectors are possible direction vectors for the line? [asy] usepackage("amsmath"); unitsize(1 cm); pair x = (3,0), y = (0,2); label(…

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problem

A line has slope 25.\frac{2}{5}. Which of the following vectors are possible direction vectors for the line? [asy] usepackage("amsmath"); unitsize(1 cm); pair x = (3,0), y = (0,2); label("(A) $\begin{pmatrix} 2 \\ 5 \end{pmatrix}$", y); label("(B) $\begin{pmatrix} 5 \\ 2 \end{pmatrix}$", x + y); label("(C) $\begin{pmatrix} 0 \\ 0 \end{pmatrix}$", 2*x + y); label("(D) $\begin{pmatrix} -2 \\ -5 \end{pmatrix}$", 3*x + y); label("(E) $\begin{pmatrix} -5 \\ -2 \end{pmatrix}$", (0,0)); label("(F) $\begin{pmatrix} 2/5 \\ 1 \end{pmatrix}$", x); label("(G) $\begin{pmatrix} 40 \\ 16 \end{pmatrix}$", 2*x); label("(H) $\begin{pmatrix} 4 \\ 10 \end{pmatrix}$", 3*x); [/asy] Enter the letters of the correct options, separated by commas.
Plain-text mathematical notation (without MathML)
A line has slope (2)/(5).  Which of the following vectors are possible direction vectors for the line?

[asy]
usepackage("amsmath");

unitsize(1 cm);

pair x = (3,0), y = (0,2);

label("(A) $\begin{pmatrix} 2 \\ 5 \end{pmatrix}$", y);
label("(B) $\begin{pmatrix} 5 \\ 2 \end{pmatrix}$", x + y);
label("(C) $\begin{pmatrix} 0 \\ 0 \end{pmatrix}$", 2*x + y);
label("(D) $\begin{pmatrix} -2 \\ -5 \end{pmatrix}$", 3*x + y);
label("(E) $\begin{pmatrix} -5 \\ -2 \end{pmatrix}$", (0,0));
label("(F) $\begin{pmatrix} 2/5 \\ 1 \end{pmatrix}$", x);
label("(G) $\begin{pmatrix} 40 \\ 16 \end{pmatrix}$", 2*x);
label("(H) $\begin{pmatrix} 4 \\ 10 \end{pmatrix}$", 3*x);
[/asy]

Enter the letters of the correct options, separated by commas.
Original LaTeX notation
A line has slope $\frac{2}{5}.$  Which of the following vectors are possible direction vectors for the line?

[asy]
usepackage("amsmath");

unitsize(1 cm);

pair x = (3,0), y = (0,2);

label("(A) $\begin{pmatrix} 2 \\ 5 \end{pmatrix}$", y);
label("(B) $\begin{pmatrix} 5 \\ 2 \end{pmatrix}$", x + y);
label("(C) $\begin{pmatrix} 0 \\ 0 \end{pmatrix}$", 2*x + y);
label("(D) $\begin{pmatrix} -2 \\ -5 \end{pmatrix}$", 3*x + y);
label("(E) $\begin{pmatrix} -5 \\ -2 \end{pmatrix}$", (0,0));
label("(F) $\begin{pmatrix} 2/5 \\ 1 \end{pmatrix}$", x);
label("(G) $\begin{pmatrix} 40 \\ 16 \end{pmatrix}$", 2*x);
label("(H) $\begin{pmatrix} 4 \\ 10 \end{pmatrix}$", 3*x);
[/asy]

Enter the letters of the correct options, separated by commas.

level

Level 2

type

Precalculus

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Source and history

task_id
dddda0fd-ec4a-5851-af63-e6ad46546c5a
task_key
precalculus--test--dddda0fd-ec4a-5851-af63-e6ad46546c5a
task_revision_id
1
config / split
precalculus / test

Official source

initial import