Graph -12x-3y=9

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Graph -12x-3y=9

$- 12 x - 3 y = 9$

Solve for $y$ .

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

$- 3 y = 9 + 12 x$

Divide each term by $- 3$ and simplify.

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Divide each term in $- 3 y = 9 + 12 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{9}{- 3} + \frac{12 x}{- 3}$

Cancel the common factor of $- 3$ .

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Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{9}{- 3} + \frac{12 x}{- 3}$

Divide $y$ by $1$ .

$y = \frac{9}{- 3} + \frac{12 x}{- 3}$

Simplify each term.

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Divide $9$ by $- 3$ .

$y = - 3 + \frac{12 x}{- 3}$

Cancel the common factor of $12$ and $- 3$ .

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Factor $3$ out of $12 x$ .

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

Move the negative one from the denominator of $\frac{4 x}{- 1}$ .

$y = - 3 - 1 \cdot (4 x)$

Rewrite $- 1 \cdot (4 x)$ as $- (4 x)$ .

$y = - 3 - (4 x)$

Multiply $4$ by $- 1$ .

$y = - 3 - 4 x$

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.

$y = m x + b$

Reorder $- 3$ and $- 4 x$ .

$y = - 4 x - 3$

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 $y = m x + b$ .

$m = - 4$

$b = - 3$

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

Slope: $- 4$

y-intercept: $(0, - 3)$

Slope: $- 4$

y-intercept: $(0, - 3)$

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

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Find the x-intercept.

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To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = - 3 - 4 x$

Solve the equation.

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Rewrite the equation as $- 3 - 4 x = 0$ .

$- 3 - 4 x = 0$

Add $3$ to both sides of the equation.

$- 4 x = 3$

Divide each term by $- 4$ and simplify.

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Divide each term in $- 4 x = 3$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{3}{- 4}$

Cancel the common factor of $- 4$ .

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Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{3}{- 4}$

Divide $x$ by $1$ .

$x = \frac{3}{- 4}$

Move the negative in front of the fraction.

$x = - \frac{3}{4}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{3}{4}, 0)$

Find the y-intercept.

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To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = - 3 - 4 \cdot 0$

Solve the equation.

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Remove parentheses.

$y = - 3 - 4 \cdot 0$

Simplify $- 3 - 4 \cdot 0$ .

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Multiply $- 4$ by $0$ .

$y = - 3 + 0$

Add $- 3$ and $0$ .

$y = - 3$

y-intercept(s) in point form.

y-intercept(s): $(0, - 3)$

Create a table of the $x$ and $y$ values.

$\begin{array}{c} x & y \\ - \frac{3}{4} & 0 \\ 0 & - 3 \end{array}$

Graph the line using the slope and the y-intercept, or the points.

Slope: $- 4$

y-intercept: $(0, - 3)$

$\begin{array}{c} x & y \\ - \frac{3}{4} & 0 \\ 0 & - 3 \end{array}$

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Name

Name	two hundred ninety million five hundred five thousand one hundred eighty

Interesting facts

290505180 has 128 divisors, whose sum is 760129920
The reverse of 290505180 is 081505092
Previous prime number is 29

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 30
Digital Root 3

Name

Name	one billion five hundred ninety-five million three hundred forty-five thousand three hundred fifty-five

Interesting facts

1595345355 has 32 divisors, whose sum is 2318105600
The reverse of 1595345355 is 5535435951
Previous prime number is 79

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 45
Digital Root 9

Name

Name	seven hundred five million nine hundred eighty-seven thousand four hundred twenty

Interesting facts

705987420 has 32 divisors, whose sum is 2541554928
The reverse of 705987420 is 024789507
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 42
Digital Root 6

Factor 1-sin(x)^4

Find the Exact Value arcsin(-0.79)

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