Question

What is the equation in slope-intercept form that passes through the points (-4, 47) and (2, -16)?

Answer 1

Answer:

y = 10.5x - 37

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

Equality Properties

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, 47)

Point (2, -16)

Step 2: Find slope m

1. Substitute:                    $m=\frac{-16-47}{2+4}$
2. Subtract/Add:               $m=\frac{63}{6}$
3. Simplify:                        $m=\frac{21}{2}$

Step 3: Find y-intercept b

1. Define:                    y = 21/2x + b
2. Substitute:              -16 = 21/2(2) + b
3. Multiply:                  -16 = 21 + b
4. Isolate b:                 -37 = b
5. Rewrite:                   b = -37

Step 4: Write linear equation

Combine all parts.

y = 21/2x - 37

y = 10.5x - 37

And we have our final answer!