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Practice Questions - Matrices and Equations

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Can you explain to me how these problems are solved? (Please see the attached questions file).

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Solution Summary

Neat and step-by-step solutions to all questions regarding matrices and equations. Graphs (if any) are also included.

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The solution file is attached.

Answer all questions and show work

1. Find the slope.
The line that passes through points (2, 1) and (4, −6).

Slope = (y2 - y1)/(x2 - x1) = (-6 - 1)/(4 - 2) = -7/2

2. Find the slope.
2x + y = 4

2x + y = 4 ==> y = -2x + 4
Slope is m = -2

3. Find a general equation for the line having the given properties.
Slope = 4; containing (−3, 4)

m = 4 and (x1, y1) = (-3, 4)
The equation to the line is y - y1 = m(x - x1)
y - 4 = 4(x + 3) ==> y = 4x + 16 in ...

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