Question

What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6? PLS HELP!!!!

Answer 1

Answer:

The coordinates of the point X:

• (x, y) = (-1, -7)

Step-by-step explanation:

Let X be the point.

As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

$\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)$

$\left(x_2,\:y_2\right)=\left(5,-1\right)$

Rise = y₂ - y₁

       $= -1 - (-8)$

       $= -1 + 8$

       $= 7$

Run = x₂ - x₁

      $= 5 - (-2)$

      $= 5 + 2$

      $= 7$

1 : 6 ratio means the point X lies at

$\frac{1}{6+1}=\frac{1}{7}=14\%$

Thus,

rise for X $=\:7\:\times \:14\%=1$

run for X $=\:7\:\times \:14\%=1$

Thus, coordinates of X will be:

$x = -2 + 1 = -1$

$y = -8 + 1 = -7$

Therefore, we conclude that:

The coordinates of the point X:

• (x, y) = (-1, -7)