Answer:
answer is
k=2
Step-by-step explanation:
For this type of question let's use an equation that's are used to find the slope.
[tex]m = (y2 - y1) \div (x2 - x1)[/tex]
Now, substitute the numbers we have,
[tex] \frac{1}{3 } = (4 - 3) \div ( 5 - k)[/tex]
[tex] \frac{1}{3} = 1 \div (5 - k)[/tex]
[tex] \frac{1}{3} = \frac{1}{5 - k}[/tex]
[tex]5 - k = 3[/tex]
[tex]k = 2[/tex]
To check your answer,
m= 4-3/5-2
m=1/3
BOOM!
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