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nordsb [41]
2 years ago
8

A line’s equation is given in point-slope form: y−6=(−23)(x+6) This line’s slope is?

Mathematics
1 answer:
Nikolay [14]2 years ago
6 0

The slope of the line is -23

<h3>How to determine the slope of the line?</h3>

The line’s equation is given in point-slope form:

y − 6 = (−23)(x + 6)

The line’s equation in point-slope is represented as:

y − y1 = m(x - x1)

Where

m represents the slope

By comparing y − y1 = m(x - x1) and y − 6 = (−23)(x + 6), we have

m = -23

Hence. the slope of the line is -23

Read more about slope at:

brainly.com/question/3493733

#SPJ1

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goldfiish [28.3K]

Answer:

a=2, z= 4.75, m=4, k=3

Step-by-step explanation:

\begin{equation*} \begin{pmatrix}a+7 & 2z+1 & 3m \\6k & 5 & 1\end{pmatrix}  + \begin{pmatrix}12a & 6z & 5m \\7k & 4 & 2\end{pmatrix}   =  \begin{pmatrix}33 & 39 & 32 \\39 & 9 & 3\end{pmatrix} \end{equation*}

In Matrix Addition, each element in corresponding position is added.

In Matrix Equality, elements in the same position are equal.

Applying these two principles

a+7+12a=33

13a=33-7

13a=26

a=2

2z+1+6z=39

8z=39-1

8z=38

z= 4.75

3m+5m=32

8m=32

m=4

6k+7k=39

13k=39

k=3

Therefore:

a=2, z= 4.75, m=4, k=3

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