Sketch the plane representing - 2×2 = - 8
Answers
Given :- (a) Sketch the plane representing -2x, = -8 .
(b) Given the points (-4,8) and (6, -12) :-
(i) Determine the midpoint of the line segment connecting the points .
(ii) Determine the distance separating the two points .
Answer :-
(a) Sketch the plane representing -2x1 = -8
Answer :-
→ -2x1 = -8
→ x1 = (-8)/(-2) = 4
now, draw a line passes from positive 4 on x - axis and which is parallel to y - axis .
(b) Given the points (-4,8) and (6, -12)
(i) Determine the midpoint of the line segment connecting the points.
(ii) Determine the distance separating the two points .
Answer :-
we know that, Mid points of points (a,b) and (c,d) is ,
- (a + c)/2 and (b + d)/2
so,
→ The midpoint of the line segment connecting (-4,8) and (6,-12) = (-4 + 6)/2 and (8 - 12)/2 = (2/2) and (-4/2) = (1, -2) .
now, we know that, distance between two points (a,b) and (c,d) is,
- √[(a - c)² + (b - d)²]
so,
→ Distance between (-4,8) and (6, -12) = √[(-4 - 6)² + {8 - (-12)}²] = √[(-10)² + (20)²] = √(100 + 400) = √500 = 10√5 units .
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