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3 years ago

Graph the line with slope -6 and y-intercept 3.

Mathematics

2 answers:

Usimov [2.4K]3 years ago

8 0

Answer:

*See Below*

Step-by-step explanation:

It was hard to find this answer. Sorry if the graph glitches.

aleksklad [387]3 years ago

5 0

Answer:

See Attachment.

Genera Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define variables

Slope m = -6

y-intercept b = 3

Step 2: Write linear equation

Substitute into general form.

Slope-Intercept Form: y = -6x + 3

Step 3: Graph

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The option B is the correct option.

Given information-

The given expression in the problem is,

$[(r)^{-7}]^5$

<h3>Power rule of exponents</h3>

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.

Suppose x is a number with power a. The power is power of the power of number x. Then by the power rule of the exponents,

$(x^a)^b=x^{ab}$

Using the power rule of the exponents given expression can be written as,

$[(r)^{-7}]^6=(r)^{-7\times 6} 
$

$[(r)^{-7}]^6=(r)^{-42}$

<h3>Negative exponents rule</h3>

Negative exponents rule says that when a power of a number is negative, then write the number in the denominator with the same power with positive sign.Thus,

$[(r)^{-7}]^6=\dfrac{1}{(r)^{42}}$