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

Answer:

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: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Step-by-step 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]:                    $m=\frac{2-5}{1-0}$
2. Subtract:                              $m=\frac{-3}{1}$
3. Divide:                                 $m=-3$

Step 3: Write Equation

Plug in variables into the general form.

y = -3x + 5