Find the Slope and Y-Intercept -12x+4y=-8

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Algebra

$- 12 x + 4 y = - 8$

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.

$y = m x + b$

Add $12 x$ to both sides of the equation.

$4 y = - 8 + 12 x$

Divide each term by $4$ and simplify.

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Divide each term in $4 y = - 8 + 12 x$ by $4$ .

$\frac{4 y}{4} = \frac{- 8}{4} + \frac{12 x}{4}$

Cancel the common factor of $4$ .

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Cancel the common factor.

$\frac{4 y}{4} = \frac{- 8}{4} + \frac{12 x}{4}$

Divide $y$ by $1$ .

$y = \frac{- 8}{4} + \frac{12 x}{4}$

Simplify $\frac{- 8}{4} + \frac{12 x}{4}$ .

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Simplify each term.

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Divide $- 8$ by $4$ .

$y = - 2 + \frac{12 x}{4}$

Cancel the common factor of $12$ and $4$ .

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Factor $4$ out of $12 x$ .

$y = - 2 + \frac{4 (3 x)}{4}$

Cancel the common factors.

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Factor $4$ out of $4$ .

$y = - 2 + \frac{4 (3 x)}{4 (1)}$

Cancel the common factor.

$y = - 2 + \frac{4 (3 x)}{4 \cdot 1}$

Rewrite the expression.

$y = - 2 + \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$y = - 2 + 3 x$

Reorder $- 2$ and $3 x$ .

$y = 3 x - 2$

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 $y = m x + b$ .

$m = 3$

$b = - 2$

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

Slope: $3$

y-intercept: $- 2$

Slope: $3$

y-intercept: $- 2$

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Name

Name	one billion twenty-two million five hundred twenty-two thousand six hundred sixty-four

Interesting facts

1022522664 has 64 divisors, whose sum is 4872021696
The reverse of 1022522664 is 4662252201
Previous prime number is 17

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 30
Digital Root 3

Name

Name	one billion four hundred twelve million seven hundred thirty-four thousand nine hundred ninety

Interesting facts

1412734990 has 16 divisors, whose sum is 2584611360
The reverse of 1412734990 is 0994372141
Previous prime number is 61

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 40
Digital Root 4

Name

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

Interesting facts

1703564787 has 8 divisors, whose sum is 2278677904
The reverse of 1703564787 is 7874653071
Previous prime number is 313

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 48
Digital Root 3

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