1. Do-Now Solve for x: 3x – 10 = 7x + 2 Factor: x2 + 7x – 18
Find x if the volume of the rectangular solid is 84 cubic units.
x – 1 4
x + 3

2. Applying Formulas Slope
Examples: Find the slope between the following points.
a) (–3, 4) and (2, –1)
b) (0, –6) and (3, 2)
c) ( , –5) and (– , 2)

3. Midpoint Example: Find the midpoint between the following points.
a) (6, 2) and (–1, 4)
b) (0, 0) and (10, 10)
Example: The midpoint, M, of line segment AB is (2, 5). If point A is at (–3, 6), where is point B?

4. Example: Find the value of x if M is the midpoint of AB.
A (x – 1, y + 4)
M (5, 3)
B (x + 3, y – 1)
A (x + 2, y – 3)
M (x + 6, y + 6)
B (5, 17)
A (5, 0)
M (x2 + x + 2, 2y2 – 12y – 16)
B (2x2 + x – 4, y2 – 8y + 3)

5. Distance Example: Find the distance between the two points.
(–2, 1) and (3, 6)
(0, 2) and (–8, 2)
(1, 5) and (2, 3)
Example: If the length of AB is 10 with A(x + 8, –1) and B(14, 5), what is the value of x?

6. Practice Find the slope between (–3, 2) and (–1, 6).
Find the distance between (6, –2) and (1, 5).
Find the value of y if the distance between AB is with A(–2, –8) and B(3, y + 1).
Find the value of x if M(2, 7) is the midpoint of AB with A(x – 10, y + 3) and B(x + 3, y + 2).
Find the midpoint of A(3, –2) and B(17, 1)