Answer:
(-2.2, -1.2) on the graph represents your school.
Step-by-step explanation:
By the given figure,
The point that represents the house = (-4, -2), ( let H )
And, the point that represents the theater = (5, 2) ( let T )
Suppose S represents the point that shows the school,
According to the question,
S is between the line segment HT such that the distance from H to the S is one-fourth of the distance from S to the T,
i.e. the point S divides the segment HT into the ratio 1 : 4 internally,
By the segment formula,
The coordinates of point S,
[tex](\frac{1\times 5+4\times -4}{1+4}, \frac{1\times 2+4\times -2}{1+4})[/tex]
[tex]=(\frac{5-16}{5}, \frac{2-8}{5})[/tex]
[tex]=(\frac{-11}{5}, \frac{-6}{5})[/tex]
[tex]=(-2.2, -1.2)[/tex]
Hence, (-2.2, -1.2) on the graph represents your school.
