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vredina [299]
3 years ago
8

What is the slope intercept form of the equation for the line that has a slope of -2 and a y-intercept of 3?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

y = - 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 and c = 3, hence

y = - 2x + 3 ← equation in slope- intercept form

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A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH
Burka [1]

Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : <u>rotation -90° and translation (0,2)</u>

<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

There are 2 shapes of geometry:

Similar figures:

the same shape but different in size,

Congruent figures:

the same size and the same shape

Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other

A sequence of two transformations e can do is :

1. rotation -90°

Let point H(4,1) from polygon GFJIH , we rotate -90°

\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]

2. translation (0,2)

\left[\begin{array}{ccc}8\\1\end{array}\right]+\left[\begin{array}{ccc}0\\2\end{array}\right]=\left[\begin{array}{ccc}8\\3\end{array}\right]

<h3 /><h3>Learn more</h3>

brainly.com/question/13715226

Keywords: transformation, translation, rotation

#LearnWithBrainly

7 0
3 years ago
Read 2 more answers
Un submarino puede descender a una velocidad de –2,5 metros / segundo. Supongamos que el submarino comienza a una profundidad de
Mariulka [41]

17.5

Step-by-step explanation:

3 0
3 years ago
What is the equation of the line shown in this graph
prisoha [69]
Slope = (2+4)/(1-4) = 6/-3 = -2
passing thru (1.2)
y = mx + b
b = y - mx
b = 2 - (-2)(1)
b = 2 + 2
b = 4

equation
y = -2x + 4
7 0
2 years ago
Will give brainly
ad-work [718]

Answer:

The wheels have to rotate 500 times

Step-by-step explanation:

The wheel is 1 meter in diameter so we need to find the circumference.

C = 2\pir

C = 2\pi1

C= 2\pi

2meters = .002kilometers

1000meters = 1kilometer

1000/2 = 500

6 0
2 years ago
Why is division not commutative
Kamila [148]
Division CANNOT be commutative, here is why

lets say the problem is 24÷4

it is obviously  6

but when you flip 24÷4, you get 4÷24

and... 4÷24 is 0.16666666

6 and 0.1666 is totally different :p
3 0
2 years ago
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