Question

What the slope of(12,7) (5,9) ​

Answer 1

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`slope = (9 - 7)/(5 - 12) \\`

`slope = (2)/( - 7) \\`

`slope = - (2)/(7) \\`

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Answer 2

`\boxed {\boxed {\sf m= -(2)/(7)}}`

Explanation:

The slope of a line can be found using the following formula:

`m=(y_2-y_2)/(x_2-x_1)`

Where (x₁,y₁) and (x₂,y₂) are the points on the line.

We are given the points (12,7) and (5,9). Therefore:

`x_1=12\\y_1=7\\\\x_2=5 \\y_2=9`

Substitute the values into the formula.

`m=(9-7)/(5-12)`

Solve the numerator.

• Subtract 7 from 9
• 9-7=2

`m=(2)/(5-12)`

Solve the denominator.

• Subtract 12 from 5
• 5-12= -7

`m=(2)/(-7)`

This fraction cannot be reduced further, so it is the answer.

The slope of the line is -2/7