Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (10,5), (-8, 9)
Line 2: (2, - 4), (11, - 6)
The slope of line 1 is.
The slope of line 2 is.
The two lines are...

Answers

Answer 1

use

[tex]y - y_{1} = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \times (x_{2} - x_{1})[/tex]

slope is

[tex]m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \\[/tex]

[tex]if \: \: m_{1} = m_{2} \: \: lines \: are \: parallel \\ [/tex]

[tex]if\:m_{1} = - \frac{1}{m_{2}} \\ lines \: are \: perpendicular \: to \: each \: other[/tex]

Answer 2

Parallel lines have the same slope

The slope of line 1 is -2/9The slope of line 2 is -2/9The two lines are parallel

The slope of a line is calculated as:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

The slope of line 1 is:

[tex]\mathbf{m_1 = \frac{9 - 5}{-8 - 10}}[/tex]

[tex]\mathbf{m_1 = \frac{4}{-18}}[/tex]

[tex]\mathbf{m_1 = -\frac{2}{9}}[/tex]

Hence, the slope of line 1 is -2/9

The slope of line 2 is:

[tex]\mathbf{m_2 = \frac{-6 - -4}{11 - 2}}[/tex]

[tex]\mathbf{m_2 = \frac{-2}{9}}[/tex]

[tex]\mathbf{m_2 = -\frac{2}{9}}[/tex]

Hence, the slope of line 2 is -2/9

The lines have the same slope.

Hence, the two lines are parallel

Read more about slopes of lines at:

https://brainly.com/question/16114771


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Total amount with Tamara = $30,000

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So, the inequality is [tex]8000\leq x[/tex]    

Also, she wants to invest at least three times as much into corporate bonds than into municipal bonds.

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Step-by-step explanation:

Slope-Intercept Form: y = mx + b

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b - y-intercept

Step 1: Define

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Step 2: Find y-intercept b

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Step-by-step explanation:

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Step-by-step explanation:

(-8a-5a-10c)-(2a+10b+20c)

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(-13a-10c)-2a-10b-20c

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