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2 years ago

What are the slope and y - intercept of the equation 6x+3y=-12

Mathematics

1 answer:

sertanlavr [38]2 years ago

4 0

Answer:

Slope= -2

y-intercept= -4

Step-by-step explanation:

To find the slope and y-intercept of a given equation, first rearrange the equation such that it is in the slope-intercept form. In the slope-intercept form, the coefficient of y is 1 and the rest are moved to the left hand side of the equation.

$\textcolor{steelblue}{\text{Slope-intercept form}}$

y= mx +c, where m is the slope and c is the y-intercept

Given equation: 6x +3y= -12

Let's leave the y term on the left of the equation and bring the rest to the right.

3y= -6x -12

To ensure that the coefficient of y is 1, divide both sides by 3.

y= -2x -4

The equation is now in the slope-intercept form.

The slope is the coefficient of x (the number that comes before x), thus the slope is -2. The y-intercept is -4.

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−

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to both sides of the equation.

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

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(

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Add the term to each side of the equation.

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)

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Simplify the equation.

Tap for more steps...

Factor the perfect trinomial square into

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