A park bench is located 16 3/4 feet due north of an elm tree a fountain is located 9 1/2 feet due south of the same elm tree
2 answers:
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Answer:
The value of 'k' is -6.
Step-by-step explanation:
Given:
A line passing through the origin.
The points lying on the line are:
(5, 10) and
A line that passes through the origin is given as:
Where 'm' is the slope of the line.
Now, (5, 10) lies on the line. So, the point will satisfy the equation.
Therefore, plugging in in the above equation, we get:
So, the slope of the line is 2.
Now, the equation becomes
Now, point (-3, k) will also satisfy the equation. So, plugging in , we get
Therefore, the value of 'k' is -6.