Find the slope of the line graphed below.

Mathematics

1 answer:

sesenic [268]3 years ago

4 0

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 1)

Point (2, 2)

Step 2: Identify

x₁ = 0, y₁ = 1

x₂ = 2, y₂ = 2

Step 2: Find slope m

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

Substitute in points/variables [Slope Formula]: $\displaystyle m=\frac{2-1}{2-0}$
[Slope] [Fraction] Subtract: $\displaystyle m=\frac{1}{2}$

You might be interested in

Using the Distance Formula, find the distance between points (-1, -7) and (-3,-5) to the nearest tenth.

MrMuchimi

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1, -7) and (-3,-5)

The distance between them is

$d = \sqrt{ ({ - 1 + 3})^{2} + ({ - 7 + 5})^{2} } \\ = \sqrt{ { 2}^{2} + ( { - 2})^{2} } \\ = \sqrt{4 + 4} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{8} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2.8284271247$