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3 years ago

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2

Mathematics

1 answer:

Elanso [62]3 years ago

6 0

Answer:

D. y = 5x + 29

Step-by-step explanation:

To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.

The equation of a line is y=mx + b.

x and y are the coordinates of any point on a line.

m is the slope.

b is the y-intercept.

Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.

m = 5

Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.

Substitute the known information into the equation and isolate b.

y = mx + b

-1 = 5(-6) + b <=Simplify by solving 5 X -6

-1 = -30 + b

-1 + 30 = -30 + 30 + b <= Add 30 to both sides to isolate b

29 = b

b = 29 <= Standard formatting puts the variable on the left side

Put the m and b values into the equation of a line to solve:

y = mx + b

y = 5x + 29

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(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}

garik1379 [7]

Answer:

Step-by-step explanation:

(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}

-4 + 2 - {-5 - [-7 - 3 + 8]}

-2 - [-5 + 7 + 3 - 8]

-2 - (-3)

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3 years ago

The digit \greenD88start color #1fab54, 8, end color #1fab54 in which number represents a value of 888 thousandths?

Arte-miy333 [17]

<em>Question:</em>

<em>The digit 8 in which number represents a value of 8 thousandths? </em>

Answer:

See Explanation

Step-by-step explanation:

The question requires options and the options are missing.

However, the following explanation will guide you

Start by representing 8 thousandths as a digit

$\frac{8}{1000} = 0.008$

i.e.

8 thousandths implies 0.008

Next;

Replace the 0s with dashes

_ . _ _8

Note that there are two dashes after the decimal point and before 8

PS: The dashes are used to represent digits

This implies that thousandths is the 3rd digit after the decimal point

Typical examples to back up this explanation are:

3 0

3 years ago

Square measures 8 m on each side if each side is written by 1/4 of eight originally the premiere of the new square will be blank

Digiron [165]

Step-by-step explanation:

so, if I understand this correctly, the original square had a side length of 8 m.

now we transform this square into one with side length 1/4×8 = 8/4 = 2 m.

and the questions are what are the perimeter and the area of that new (smaller) square ?

the perimeter of a square is

4× side length = 4×2 = 8 m

the area of a square is

side length ² = 2² = 4 m²

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2 years ago

Jamie evaluated this expression. StartFraction left-bracket (2 cubed) (2) right-bracket Superscript 4 Baseline Over 2 Superscrip

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Given the expression

$\frac{(2^3)(2)^4}{2^{10}} \\$

Using the following laws of indices;

$\frac{a^m}{a^n} = a^{m-n}\\a^m \times a^n = a^{m+n}$

The expression becomes;

Step 1: Multiplication rule

$=\frac{(2^3)(2)^4}{2^{10}} \\= \frac{2^{3+4}}{2^{10}}\\= \frac{2^7}{2^{10}}$

Using the division rule of exponent (Quotient of powers);

$= \frac{2^7}{2^{10}} \\= 2^{7-10}\\= 2^{-3}\\also \ a^{-m} = \frac{1}{a^m}\\ 2^{-3}= \frac{1}{2^3}\\\frac{1}{2^3} = \frac{1}{8}$

Hence the result of the expression is 1/8

5 0

3 years ago

Read 2 more answers

Maths question I'm struggling with.

Alex17521 [72]

Answer:

A = 2.63

B = 2

Step-by-step explanation:

To find the population density, what we need to do simply is divide the population by the area of the UK

mathematically, that would be;

(6.41 * 10^7)/243,610 = 263.125

To the nearest whole person= 263 people/ square meter

So now we want to write 263 in standard form = 2.63 * 10^2

So this means A = 2.63 and B = 2

6 0

3 years ago