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Ivan
3 years ago
5

write an equation in slope intercept form given slope and point for following (9,-4) slope 2/3 please helpppp

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

y=2/3x -10

Step-by-step explanation:

y= m x + b

m=slope

slope = 2/3

b= y-intercept

plot point (9,-4) and count down two, left three, until reach y axis.

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Use a matrix to solve the system:
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Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

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\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\

we can write it like this,

AX=B\\X=A^{-1}B

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]  \\

now multiply the matrix with B

X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\

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