WORTH 30 : can you please help me with my homework questions 14-18
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y = 8
using the ' gradient formula' m = (y₂ - y₁)/(x₂ - x₁)
with (x₁, y₁) = (3, 3), (x₂, y₂) = (- 5, y) and m = -
(y - 3)/( - 5 - 3) = -
(y - 3)/(-8) = -
multiply both sides by - 8 to eliminate fractions
y - 3 = 5
add 3 to both sides
y = 5 + 3 =8
Given the points H(6,7) and I(-7,-6).
If point G lies of the way along line segment HI.
Therefore, we can say that the point G divides the line segment HI in the ratio 1:1.
So, by using the cross section formula we can determine the coordinates of point G.
For the given points say and
divided is in the ratio
, the coordinates are
Coordinates G =
= (-0.5 , 0.5)
Hence, the coordinates of G are (-0.5 , 0.5).
So, Santiago argues that point G is located at the origin. The point G is located at (-0.5, 0.5). Therefore, he is not correct.