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lakkis [162]
1 year ago
12

Find the slope and y-intercept for x + 3y=3

Mathematics
1 answer:
Zarrin [17]1 year ago
5 0

By definition, the Slope-Intercept Form of the equation of a line is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Then, to find the slope and the y-intercept of the line given in the exercise, you only need to solve for "y", in order to write the equation in Slope-Intercept Form:

\begin{gathered} x+3y=3 \\ 3y=-x+3 \\  \\ y=\frac{-1}{3}x+\frac{3}{3} \\  \\ y=-\frac{1}{3}x+1 \end{gathered}

Now you can identify that the slope is:

m=-\frac{1}{3}

And the y-intercept is:

b=1

Therefore, the answer is:

\begin{gathered} m=-\frac{1}{3} \\  \\ b=1 \end{gathered}

You might be interested in
Quadrilateral ABCD is transformed to create A'B'C'D'. Match the coordinates of A' with the transformations that create it
SashulF [63]

The three basic types of rigid transformations are rotation, reflection and translation transformation

The correct options are;

Quadrilateral ABCD is reflected over the x-axis → (2, 4)

Quadrilateral ABCD translated 2 units right and 1 unit down → (4, -5)

Quadrilateral ABCD dilated about the origin by a scale factor of 3 → (6, -12)

Quadrilateral ABCD rotated 180° clockwise about the origin → (-2, 4)

The reasons the above matches are correct are as follows:

The given coordinates of the preimage are A(2, -4)

The image of (x, y) following a reflection over the x-axis is (x, -y)

Therefore

  • A(2, -4) in Quadrilateral ABCD is reflected over the x-axis → A'(2, 4)

The image of (x, y) following a translation of 2 units right and 1 unit down → (x + 2, y - 1)

Therefore;

  • A(2, -4) in Quadrilateral ABCD translated 2 units right and 1 unit down → A'(4, -5)

The image of (x, y) following a dilation about the origin by a scale factor of 3 is (3×x, 3×y)

Therefore;

  • A(2, -4) in Quadrilateral ABCD dilated about the origin by a scale factor of 3 → A'(6, -12)

The image of the point (x, y) rotated 180° clockwise about the origin is (-x, -y)

Therefore;

  • A(2, -4) in Quadrilateral ABCD rotated 180° clockwise about the origin → A'(-2, 4)

Learn more about rigid transformations here:

brainly.com/question/11018647

3 0
3 years ago
Help is for today!!!<br>Ayuda es para hoy.!!<br>​
lorasvet [3.4K]

Answer:

x=20 degrees

Step-by-step explanation:

So, lets recall some things.

First off, opposite angles are the same.

So this would make x equal 20.

But lets test this.

When you look at a X, or any other sort of two lines that cross each other, can you ever think of a time when one side is not the same as the other? No.

This is because when you change one angle, since the lines are crossed together, it will change the opposite angle. This change will always be constant as long as the two lines connect at the same point

So if you changed a 10 degree angle of two lines, so that it was 30, this would change for the other line.

I attached a image below.

I hope this explains this to you and helps! :D

==================================================================

Respuesta:

x = 20 grados

Explicación paso a paso:

Entonces, recordemos algunas cosas.

En primer lugar, los ángulos opuestos son iguales.

Entonces esto haría que x sea igual a 20.

Pero probemos esto.

Cuando miras una X, o cualquier otro tipo de dos líneas que se cruzan, ¿puedes pensar alguna vez en un momento en el que un lado no sea igual que el otro? No.

Esto se debe a que cuando cambia un ángulo, dado que las líneas se cruzan, cambiará el ángulo opuesto. Este cambio siempre será constante siempre que las dos líneas se conecten en el mismo punto

Entonces, si cambia un ángulo de 10 grados de dos líneas, de modo que sea 30, esto cambiaría para la otra línea.

Adjunto una imagen a continuación.

¡Espero que esto te explique esto y te ayude! :D

4 0
3 years ago
What is 1.3 divided by 4.7
Savatey [412]

Answer:

0.27659574

Step-by-step explanation:

7 0
3 years ago
Which is closer to 0 3/8 or -1/3
Anni [7]

Answer:

-1/3 is closer to 0

Step-by-step explanation:

3/8 is between 0 and -1/3. We need to determine if 3/8 is closer to -1/3 or closer to zero. Since -1/3 is smaller than 3/8, 3/8 is closer to -1/3. Since 3/8 is closer to -1/3, 3/8 rounded to the nearest -1/3 is -1/3.

3 0
3 years ago
Write the equation in slope-intercept form. Do not use any spaces. Make sure your answer looks like y=mx+b. Y + 6 = 3(x - 4) *
Sedaia [141]

Answer:

<em>y = 3x+ 18</em>

Step-by-step explanation:

Given the expression y + 6 = 3(x-4), we are to express in the form y = mx+b

Open the bracket

y + 6 = 3(x-4)

y+6 = 3x-12

Collect the like terms;

y - 3x = -12 - 6

y - 3x = 18

<em>y = 3x + 18</em>

<em>Hence the required equation in slope-intercept form is y = 3x+ 18</em>

6 0
3 years ago
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