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

`k=-7`

Explanation:

The slope is given the formula:

Slope (m) =
`(y_2-y_1)/(x_2-x_1)`

Where

x_1 is the first x coordinate pair point (x_1 = k)

x_2 is the second x coordinate pair point (x_2 = 0)

y_1 is the first y coordinate pair point (y_1 = 7)

y_2 is the second y coordinate pair point (y_2 = 8)

Now, substituting and setting it equal to
`(1)/(7)` (the value of slope), we can figure out "k". Shown below:

`m=(y_2-y_1)/(x_2-x_1)\\(1)/(7)=(8-7)/(0-k)\\(1)/(7)=(1)/(-k)\\-k*1=7*1\\-k=7\\k=-7`