Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Midpoint Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (2, 9)
Point (8, 1)
<u>Step 2: Identify</u>
(2, 9) → x₁ = 2, y₁ = 9
(8, 1) → x₂ = 8, y₂ = 1
<u>Step 3: Find Midpoint</u>
Simply plug in your coordinates into the midpoint formula to find midpoint
- Substitute in points [Midpoint Formula]:

- [Fractions] Add:

- [Fractions] Divide:

9514 1404 393
Answer:
- slope: 6; y-intercept: -3
- slope: 11; y-intercept: -1
- slope: 2; y-intercept: -13
- slope: 1; y-intercept: -6
Step-by-step explanation:
The slope is found using the slope formula. It works well to choose ordered pairs that only differ by 1 in their x-value.
m = (y2 -y1)/(x2 -x1)
The y-intercept is the y-value when x=0. If it is not in the table, it can be found from one point and the slope.
b = y1 -m·x1
__
1) slope = (9 -3)/(2 -1) = 6
y-intercept = -9 -6(-1) = -3
__
2) slope = (21 -(-1))/(2 -0) = 22/2 = 11
y-intercept = -1 . . . from table for x=0
__
3) slope = (-9-(-11))/(2-1) = 2
y-intercept = -11 -(2)(1) = -13
__
4) slope = (-4 -(-5))/(2 -1) = 1
y-intercept = -7 -1(-1) = -6
A, C, and D are all equal to that
2.40 / 8 = 0.3
0.3 * 3 = 0.9
Answer: 0.9 is 3/8 of 2.40