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Alekssandra [29.7K]
3 years ago
8

A line that includes the points (k,7) and (0,8) has a slope of 1 7 . What is the value of k?

Mathematics
1 answer:
Shalnov [3]3 years ago
3 0

value of k is k=\frac{-1}{17}

Step-by-step explanation:

We are given points (k,7) and (0,8) has a slope of 1 7 . What is the value of k?

The formula to find the slope given two points is:

Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

where x₁ = k, y₁=7, x₂=0, y₂=0

Putting values:

Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\17=\frac{8-7}{0-k}\\17=\frac{1}{-k}\\Multiplying\,\,both\,\,sides\,\,by\,\,-k\\17*-k=1\\Divide\,\,by\,\,17\\-k=\frac{1}{17}\\ k=\frac{-1}{17}

So, value of k is k=\frac{-1}{17}

Keywords: Slope

Learn more about slope at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

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