Question

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

Answer 1

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
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• brainly.com/question/2601054

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