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3 years ago

Write the equation of the line with slope -4/3 and y-intercept 2 in slope intercept form.

Mathematics

1 answer:

SpyIntel [72]3 years ago

6 0

Answer:

y = -4/3x +2

Step-by-step explanation:

The slope-intercept form of the equation of a line with slope m and y-intercept b is ...

y = mx + b

To get your equation with slope -4/3 and y-intercept 2, you put -4/3 where m is, and 2 where b is.

y = -4/3x + 2

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What is the slope of the line with equation y−3=(x−2)?

garri49 [273]

Answer:

The correct answer is slot one/1... Have great day :)

Step-by-step explanation:

4 0

3 years ago

What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?

seraphim [82]

21.6 units

Calculate the length of the 2 inclined sides using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )

d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37

repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )

d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72

the vertical side has a length of 7 units

perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )

3 0

3 years ago

A new music festival was launched in Nashville. The first year, 150,000 people attended. They project the attendance to rise by

Masteriza [31]

Exponential increase
150,000x(1.08)^x where x is years
150,000x(1.08)^3 = 188957

8 0

3 years ago

The graph shows a 90° rotation. The matrix M such that, for any point (x, y), M(x, y) = (x', y') is

guapka [62]

Answer:

A) $\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]$

Step-by-step explanation:

The rotation matrix for a clockwise rotation through angle θ is given by ...

$M=\left[\begin{array}{cc}\cos{(\theta)}&-\sin{(\theta)}\\\sin{(\theta)}&\cos{(\theta)}\end{array}\right]$

When θ = 90°, the matrix becomes the one in choice A).

4 0

3 years ago

I need help REALLY FAST what is the distance between the points (-1, -3 3/4) and (-1, 4 1/2) ?

kodGreya [7K]

Answer:

8 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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 (-1, -3.75)

Point (-1, 4.5)

Step 2: Find distance d

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

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-1--1)^2+(4.5--3.75)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(0)^2+(8.25)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{0+68.0625}$
[√Radical] Add: $\displaystyle d = \sqrt{68.0625}$
[√Radical] Evaluate: $\displaystyle d = 8.25$

4 0

3 years ago

Write the equation of the line with slope -4/3 and y-intercept 2 in slope intercept form.​

Write the equation of the line with slope -4/3 and y-intercept 2 in slope intercept form.