Question

5. Find the slope of a line, which passes through the origin, and the mid-point of the
line segment joining the points P (0.- 4) and B (8,0).​

Answer 1

hope this answer will be helpful ^_^

Answer 2

Answer:

$\large\boxed{\sf{-\dfrac{1}{2}}}$

Step-by-step explanation:

Given that,

A line segment passes through the mid point of line joining the points P(0,-4) and B(8,0)

Now, let's find the mid point.

By mid point formula, we have,

=> Mid point = [{(0+8)/2},{-4+0/2}]

=> Mid point = (8/2,-4/2)

=> Mid point = (4,-2)

Also, it passes through the origin.

We know that coordinate of origin is (0,0).

Now, we know that,

The slope of a line passing through the points (a,b) and (c,d) is given by, (b-d)/(a-c)

Here, we have,

• (a,b) = (0,0)
• (c,d) = (4,-2)

Therefore, we have,

=> Slope = (0+2)/(0-4)

=> Slope = 2/-4

=> Slope = -2/4

=> Slope = -1/2

Hence, the required slope of given line is $\bold{-\dfrac{1}{2}}$