What is the slope of a line that is parallel to the line y= 3/4 x + 2?

Mathematics

2 answers:

ivann1987 [24]1 year ago

5 0

<h3>Answer:</h3>

3/4

<h3>Step-by-step explanation:</h3>

The slope of a line describes the steepness of a line, as well as the direction.

Slope-Intercept Form

To answer the question, we first need to find the slope of the original line. This line is represented in the slope-intercept form, which is y=mx+b.

In this formula, m is the slope.

So, using this information we can say that the slope is 3/4.

Parallel Lines

Parallel lines are 2 lines that will never intersect. You can tell if 2 lines are parallel by their slopes. All parallel lines have equal slopes.

This means that the slope of a line parallel to y = 3/4x + 2 must be 3/4 as well.

kicyunya [14]1 year ago

3 0

Answer:

Using the slope-intercept form, the slope is 34 . All lines that are parallel to y=3x4+2 y = 3 x 4 + 2 have the same slope of 34 .

Step-by-step explanation:

You might be interested in

Find the distance between the two points rounding to the nearest tenth (if necessary).

jek_recluse [69]

Answer:

$\displaystyle d \approx 9.8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Plane

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify

Point (5, 7)

Point (-4, 3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-4 - 5)^2 + (3 - 7)^2}$
[√Radical] (Parenthesis) Simplify: $\displaystyle d = \sqrt{(-9)^2 + (-4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{81 + 16}$
[√Radical] Simplify: $\displaystyle d = \sqrt{97}$
[√Radical] Approximate: $\displaystyle d \approx 9.8$