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Morgarella [4.7K]

3 years ago

6

What is the slope of the line 4y – 6x + 12 = 0 in simplest form?

2 answers:

BlackZzzverrR [31]3 years ago

5 0

Convert the equation to the slope-intercept form.
$4y-6x+12=0 \\
4y=6x-12 \ \ \ |\div 4 \\
y=\frac{6}{4}x-\frac{12}{4} \\
y=\frac{3}{2}x-3$

In the $y=mx+b$ form, $m$ is the slope.
$y=\frac{3}{2}x-3 \\
m=\frac{3}{2}=1\frac{1}{2}$

The slope is equal to $1 \frac{1}{2}$ .

dangina [55]3 years ago

4 0

$4y-6x+12=0\\
4y=6x-12\\
y=\dfrac{6}{4}x-\dfrac{12}{4}\\
y=\dfrac{3}{2}x-3\\\\\\
m=\dfrac{3}{2}$

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3 years ago

Given the recursive formula for an arithmetic sequence find the common difference and the 52nd term

Mice21 [21]

Answer:

Common difference(d) $a_{52}$

(21) -10 -548

(22) -7 -323

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Step-by-step explanation:

Let the common difference be denoted by 'd'.

Also the nth difference of an arithmetic sequence is given by: $a_{n}=a_{1}+(n-1)\times d$

(21)

We are given a recursive formula as:

$a_{n}=a_{n-1}-10$

The first term is given by:

$a_{1}=-38$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=-10$

The nth term of an arithmetic sequence is given by:

$a_{n}=a_{1}+(n-1)\times d$

Here $a_{1}=-38$ and $d=-10$ .

Hence, $a_{52}=-38+(52-1)\times (-10)$

Hence, $a_{52}=-548$

(22)

$a_{n}=a_{n-1}-7$

$a_{1}=34$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

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Here $a_{1}=34$ and $d=-7$ .

Hence, $a_{52}=34+(52-1)\times (-7)$

Hence, $a_{52}=-323$

(23)

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$a_{1}=37$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=10$

Here $a_{1}=37$ and $d=10$ .

Hence, $a_{52}=37+(52-1)\times (10)$

Hence, $a_{52}=547$

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The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=-100$

Here $a_{1}=-18$ and $d=-100$ .

Hence, $a_{52}=-18+(52-1)\times (-100)$

Hence, $a_{52}=-5118$

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