QuestionFind the slope of the equation: $-6x - 2y = 9$ .

Studdy Solution

STEP 1

Assumptions1. The equation is in the form of ax + by = c, where a, b, and c are constants. . The slope of a line in this form can be found by rearranging the equation to the form y = mx + c, where m is the slope.

STEP 2

First, we need to rearrange the given equation to the form y = mx + c. We can do this by isolating y on one side of the equation.
$-6x -2y =9$

STEP 3

To isolate y, we first move the term -6x to the other side of the equation.
$-2y =6x +9$

STEP 4

Next, we divide every term by -2 to solve for y.
$y = -3x - \frac{9}{2}$

STEP 5

Now that we have the equation in the form y = mx + c, we can identify the slope of the line. The slope is the coefficient of x, which in this case is -3.
So, the slope of the line is -3.

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QuestionFind the slope of the equation: $-6x - 2y = 9$ .

Studdy Solution

STEP 1

Assumptions1. The equation is in the form of ax + by = c, where a, b, and c are constants. . The slope of a line in this form can be found by rearranging the equation to the form y = mx + c, where m is the slope.

STEP 2

First, we need to rearrange the given equation to the form y = mx + c. We can do this by isolating y on one side of the equation.
$-6x -2y =9$

STEP 3

To isolate y, we first move the term -6x to the other side of the equation.
$-2y =6x +9$

STEP 4

Next, we divide every term by -2 to solve for y.
$y = -3x - \frac{9}{2}$

STEP 5

Now that we have the equation in the form y = mx + c, we can identify the slope of the line. The slope is the coefficient of x, which in this case is -3.
So, the slope of the line is -3.

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QuestionFind the slope of the equation: −6x−2y=9-6x - 2y = 9−6x−2y=9.

Studdy Solution

STEP 1

Assumptions1. The equation is in the form of ax + by = c, where a, b, and c are constants. . The slope of a line in this form can be found by rearranging the equation to the form y = mx + c, where m is the slope.

STEP 2

First, we need to rearrange the given equation to the form y = mx + c. We can do this by isolating y on one side of the equation.−6x−2y=9-6x -2y =9−6x−2y=9

STEP 3

To isolate y, we first move the term -6x to the other side of the equation.−2y=6x+9-2y =6x +9−2y=6x+9

STEP 4

Next, we divide every term by -2 to solve for y.y=−3x−92y = -3x - \frac{9}{2}y=−3x−29​

STEP 5

Now that we have the equation in the form y = mx + c, we can identify the slope of the line. The slope is the coefficient of x, which in this case is -3.So, the slope of the line is -3.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the slope of the equation: $-6x - 2y = 9$ .

First, we need to rearrange the given equation to the form y = mx + c. We can do this by isolating y on one side of the equation.
$-6x -2y =9$

To isolate y, we first move the term -6x to the other side of the equation.
$-2y =6x +9$

Next, we divide every term by -2 to solve for y.
$y = -3x - \frac{9}{2}$

Now that we have the equation in the form y = mx + c, we can identify the slope of the line. The slope is the coefficient of x, which in this case is -3.
So, the slope of the line is -3.