Answer:
[tex]k=-7[/tex]
Step-by-step explanation:
The slope is given the formula:
Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
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 [tex]\frac{1}{7}[/tex] (the value of slope), we can figure out "k". Shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\frac{1}{7}=\frac{8-7}{0-k}\\\frac{1}{7}=\frac{1}{-k}\\-k*1=7*1\\-k=7\\k=-7[/tex]
