### Endpoints, y – Coordinate of Point, Ratio, Midpoint, Equation, Ratio, Formulas

The key terms of this Maths chapter include Endpoints, Coordinates, Ratio, Midpoint, Equation, Coordinate of Point L, Point T, segment RS, Formulas, Point P, Graph, Point S, Point N – Final Maths Test

The endpoints of JK are J(-25, 10) and K(5, -20). What is the y-coordinate of point L, which divides JK into a 7:3 ratio?

**-11**

To find the coordinates of point L, the midpoint of JK, the equation M = (5+1/2) (3-7/2) can be used. What are the coordinates of point L?

**L(3, -2)**

Point T, the midpoint of segment RS, can be found using the formulas x =(1/2) (6 – 2) + 2 and y =(1/2) (4 – 6) + 6. What are the coordinates of point T?

**T(4, 5)**

The endpoints of CD are C(-8, 4) and D(6, -6). What are the coordinates of point P on CD such that P is (5/8) the length of the line segment from D?

**(-2.75, 0.25)**

Segment EF is shown on the graph.

What is the x-coordinate of the point that divides EF into a 2:3 ratio?

**1.2**

Segment AB is shown on the graph.

Which shows how to find the x-coordinate of the point that will divide into a 2:3 ratio using the formula

**x =(2/5) (2+3) − 3**

The midpoint of RS is point T. What are the coordinates of point S?

**(10, -7)**

The midpoint of MN is point P at (-4, 6). If point M is at (8, -2), what are the coordinates of point N?

**(-16, 14)**

The endpoints of JK are J(-25, 10) and K(5, -20). What is the y-coordinate of point L, which divides JK into a 7:3 ratio?

**-11**

To find the coordinates of point L, the midpoint of JK, the equation M = (5+1/2) (3-7/2) can be used. What are the coordinates of point L?

**L(3, -2)**

Point T, the midpoint of segment RS, can be found using the formulas x =(1/2) (6 – 2) + 2 and y =(1/2) (4 – 6) + 6. What are the coordinates of point T?

**T(4, 5)**

The endpoints of CD are C(-8, 4) and D(6, -6). What are the coordinates of point P on CD such that P is (5/8) the length of the line segment from D?

**(-2.75, 0.25)**

Segment EF is shown on the graph.

What is the x-coordinate of the point that divides EF into a 2:3 ratio?

**1.2**

Segment AB is shown on the graph.

Which shows how to find the x-coordinate of the point that will divide into a 2:3 ratio using the formula

**x =(2/5) (2+3) − 3**

The midpoint of RS is point T. What are the coordinates of point S?

**(10, -7)**

The midpoint of MN is point P at (-4, 6). If point M is at (8, -2), what are the coordinates of point N?

**(-16, 14)**