Question

what is the slope of the line shown​

Answer 1

Answer:

-1/2

Step-by-step explanation:

Pick two points on the line

(-2,3) and (2,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-3)/(2 - -2)

   = (1-3)/(2+2)

    = -2/4

   = -1/2

Answer 2

Answer:

$\displaystyle m = \frac{-1}{2}$

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

• Reading a coordinate plane
• Coordinate (x, y)
• Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (0, 2)

Point (4, 0)

Step 2: Find slope m

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

1. Substitute in points [Slope Formula]:                                                              $\displaystyle m = \frac{0-2}{4-0}$
2. [Fraction] Subtract:                                                                                           $\displaystyle m = \frac{-2}{4}$
3. [Fraction] Simplify:                                                                                            $\displaystyle m = \frac{-1}{2}$