Find the Slope of the Perpendicular Line to the Line Through the Two Points (-11.3,-11.6) , (12.8,4.5)

Slope is equal to the change in <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> over the change in <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> , or rise over run.

The change in <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> is equal to the difference in x-coordinates (also called run), and the change in <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> is equal to the difference in y-coordinates (also called rise).

Substitute in the values of <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> and <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> into the equation to find the slope.

Simplify the numerator.

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>11.6</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>4.5</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>11.6</mn></mstyle></math> .

Simplify the denominator.

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>11.3</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>12.8</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>11.3</mn></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>16.1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>24.1</mn></mstyle></math> .

The slope of a perpendicular line is the negative reciprocal of the slope of the line that passes through the two given points.

The slope of the perpendicular line is <math><mstyle displaystyle="true"><mo>-</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>0.66804979</mn></mrow></mfrac></mstyle></math> .

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Name | one hundred twenty-nine million five hundred forty-six thousand seven hundred ninety-one |
---|

- 129546791 has 8 divisors, whose sum is
**141571584** - The reverse of 129546791 is
**197645921** - Previous prime number is
**587**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 44
- Digital Root 8

Name | one billion ninety-one million nine hundred forty-two thousand three hundred |
---|

- 1091942300 has 128 divisors, whose sum is
**3773770560** - The reverse of 1091942300 is
**0032491901** - Previous prime number is
**139**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 29
- Digital Root 2

Name | seven hundred eighty-nine million seven hundred eight thousand ninety-seven |
---|

- 789708097 has 8 divisors, whose sum is
**807912000** - The reverse of 789708097 is
**790807987** - Previous prime number is
**167**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 55
- Digital Root 1