Question

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

Answer 1

X=4, y=2 is the mid point of the line segment

Answer 2

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Given that,

The coordinates of the mid-point of the line segment joining the points P (0, -4) and B (8, 0) are:

[(0+8)/2 , (-4+0)/2] = (4, -2)

It is known that the slope (m) of a non-vertical line passing through the points (x1, y1) and (x2,

y2) is given by the formula

m = (y2 -y1) / ( (x2 -x1), where (x2 is not equal to x1)

Therefore, the slope of the line passing through the points (0, 0,) and (4, -2) is

m= (-2-0)/(4-0)

m= -2/4

m= -½

Hence, the required slope of the line is -1/2

Hope it's Helpful.....:)