Find the Slope and Y-Intercept 6x-7y=21

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Algebra

$6 x - 7 y = 21$

Rewrite in slope-intercept form.

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The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Subtract $6 x$ from both sides of the equation.

$- 7 y = 21 - 6 x$

Divide each term by $- 7$ and simplify.

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Divide each term in $- 7 y = 21 - 6 x$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{21}{- 7} + \frac{- 6 x}{- 7}$

Cancel the common factor of $- 7$ .

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Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{21}{- 7} + \frac{- 6 x}{- 7}$

Divide $y$ by $1$ .

$y = \frac{21}{- 7} + \frac{- 6 x}{- 7}$

Simplify $\frac{21}{- 7} + \frac{- 6 x}{- 7}$ .

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Simplify each term.

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Divide $21$ by $- 7$ .

$y = - 3 + \frac{- 6 x}{- 7}$

Dividing two negative values results in a positive value.

$y = - 3 + \frac{6 x}{7}$

Reorder $- 3$ and $\frac{6 x}{7}$ .

$y = \frac{6 x}{7} - 3$

Rewrite in slope-intercept form.

$y = \frac{6}{7} x - 3$

Use the slope-intercept form to find the slope and y-intercept.

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Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = \frac{6}{7}$

$b = - 3$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $\frac{6}{7}$

y-intercept: $- 3$

Slope: $\frac{6}{7}$

y-intercept: $- 3$

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Name

Name	two hundred twenty-seven million nine hundred twenty thousand four hundred fifty-seven

Interesting facts

227920457 has 4 divisors, whose sum is 229430016
The reverse of 227920457 is 754029722
Previous prime number is 151

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 38
Digital Root 2

Name

Name	one billion three hundred sixty-five million four hundred fifty-seven thousand five hundred fifty-eight

Interesting facts

1365457558 has 8 divisors, whose sum is 2114256960
The reverse of 1365457558 is 8557545631
Previous prime number is 31

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 49
Digital Root 4

Name

Name	one billion three hundred thirty-two million eighty-three thousand eight hundred eighty-seven

Interesting facts

1332083887 has 4 divisors, whose sum is 1354661640
The reverse of 1332083887 is 7883802331
Previous prime number is 59

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 43
Digital Root 7

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