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What the slope of(12,7) (5,9) ​

2 Answers

2 votes

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


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


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

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User WindBridges
by
6.7k points
5 votes

Answer:


\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

User Vadiraj Purohit
by
6.9k points