I added a screenshot of the complete question.
Answer:
(-7, -1)
Explanation:
The formulas given to calculated the x and y coordinates are as follows:
[tex]x = (\frac{m}{m+n})(x_{2}-x_{1}) + x_{1}\\\\y = (\frac{m}{m+n})(y_{2}-y_{1}) + y_{1}[/tex]
Let's define the variables used:
(x₁ , y₁) are the coordinates of the first point while (x₂ , y₂) are the coordinates of the second point.
We are given that the segment is directed from J to K, therefore:
First point is J ..........> (x₁ , y₁) is (-15, -5)
Second point is K ....> (x₂ , y₂) is (25, 15)
m and n defined the portion of the partitioned segment (JE : EK). It is given that this ratio is 1:4. Therefore:
m = 1 and n = 4
Finally, let's substitute with these variables in the equations as follows:
[tex]x = (\frac{1}{1+4})(25-(-15)) + (-15) = -7\\\\y = (\frac{1}{1+4})(15-(-5)) + (-5) = -1[/tex]
Based on the above, the coordinates of point E are (-7, -1)
Hope this helps :)
Answer:
(-7,-1)
Step-by-step explanation:
Given that the point J has coordinates as (-15,-5) and K has coordinates as
(25,15)
E divides the line segment JK in the ratio 1:4 internally
Here the ratio is m:n where m =1 and n =4
The formula for a point dividing the line joining (x1,y1) and (x2,y2) in the ratio m:n is
[tex](\frac{mx_2 +nx_1}{m+n}, \frac{my_2 +ny_1}{m+n})[/tex]
Substitute for m,n and also other points
WE get
Coordinate of E=
[tex](\frac{1(25)+4(-15)}{1+4},\frac{1(15)+4(-5)}{1+4}) \\=(-7, -1)[/tex]
