Question

Find the equation of the line that cuts through (0,5) and (1, 2)? a. y=-3x + 5 b. y = 3x + 5 c. y = -5x + 3 d. Y = -1/3x + 5. Please select the best answer from the choices provided A B C D.​

Answer 1

a. y = -3x + 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Slope Formula:
`m=(y_2-y_1)/(x_2-x_1)`

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Explanation:

Step 1: Define

y-intercept (0, 5)

Point (1, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

1. Substitute [SF]:
   `m=(2-5)/(1-0)`
2. Subtract:
   `m=(-3)/(1)`
3. Divide:
   `m=-3`

Step 3: Write Equation

Plug in variables into the general form.

y = -3x + 5