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MATH / A matrix M takes begin{pmatrix} 2 -1 end{pmatrix} to begin{pmatrix} 9 3 end{pmatrix}, and begin{pmatrix} 1 -3 end{pmatrix} to begin{pmatrix} 7 -1 end{pmatrix}. Find the image o…

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problem

A matrix M\mathbf{M} takes $\begin{pmatrix} 2 \\ -1 \end{pmatrix}$ to $\begin{pmatrix} 9 \\ 3 \end{pmatrix},$ and $\begin{pmatrix} 1 \\ -3 \end{pmatrix}$ to $\begin{pmatrix} 7 \\ -1 \end{pmatrix}.$ Find the image of the line y=2x+1y = 2x + 1 under M.\mathbf{M}. Express your answer in the form "y=mx+by = mx + b".
Plain-text mathematical notation (without MathML)
A matrix M takes $\begin{pmatrix} 2 \\ -1 \end{pmatrix}$ to $\begin{pmatrix} 9 \\ 3 \end{pmatrix},$ and $\begin{pmatrix} 1 \\ -3 \end{pmatrix}$ to $\begin{pmatrix} 7 \\ -1 \end{pmatrix}.$  Find the image of the line y=2x+1 under M.  Express your answer in the form "y=mx+b".
Original LaTeX notation
A matrix $\mathbf{M}$ takes $\begin{pmatrix} 2 \\ -1 \end{pmatrix}$ to $\begin{pmatrix} 9 \\ 3 \end{pmatrix},$ and $\begin{pmatrix} 1 \\ -3 \end{pmatrix}$ to $\begin{pmatrix} 7 \\ -1 \end{pmatrix}.$  Find the image of the line $y = 2x + 1$ under $\mathbf{M}.$  Express your answer in the form "$y = mx + b$".

level

Level 5

type

Precalculus

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