Question

Write an equation for the line passing through the given pair of points. give the final answer in standard form (-4,-2) and (3,-4).
the equation of the line in standard form is ____

Answer 1

Answer:

y = -2/7x - 22/7

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, -2)

Point (3, -4)

Step 2: Find slope m

1. Substitute:                    $m=\frac{-4+2}{3+4}$
2. Add:                              $m=\frac{-2}{7}$

Step 3: Find y-intercept b

1. Define:                    y = -2/7x + b
2. Substitute:              -4 = -2/7(3) + b
3. Multiply:                  -4 = -6/7 + b
4. Isolate b:                 -22/7 = b
5. Rewrite:                   b = -22/7

Step 4: Write linear equation

y = -2/7x - 22/7