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bekas [8.4K]
3 years ago
7

Find the value of k given that both points lie on a line passing through the origin (5,10)and(-3,k)

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

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 (-3, k)

A line that passes through the origin is given as:

y=mx

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 x=5,y=10 in the above equation, we get:

10=m(5)\\\\10=5m\\\\m=\frac{10}{5}=2

So, the slope of the line is 2.

Now, the equation becomes y=2x

Now, point (-3, k) will also satisfy the equation. So, plugging in x=-3,y=k, we get

k=2\times -3\\\\k=-6

Therefore, the value of 'k' is -6.

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