Question

Write an equation of the line passing through the points (4.15) and (-1. - 15).

Answer 1

Answer:

y = 6x - 9

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

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

Point (4, 15)

Point (-1, -15)

Step 2: Find slope m

1. Substitute:                    $m=\frac{-15-15}{-1-4}$
2. Subtract:                       $m=\frac{-30}{-5}$
3. Divide:                          $m=6$

Step 3: Find y-intercept b

1. Define:                    y = 6x + b
2. Substitute:              -15 = 6(-1) + b
3. Multiply:                  -15 = -6 + b
4. Isolate b:                 -9 = b
5. Rewrite:                   b = -9

Step 4: Write linear equation

Substitute in all variables.

y = 6x - 9

And we have our answer!