1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
Which of the following is NOT equivalent to the nxn matrix A being invertible? A. The homogeneous system associated to A has a u
storchak [24]

Answer:

Option C

Step-by-step explanation:

  • For the matrix A of order n\times n to be invertible, its determinant must not be equal to zero, |A| \neq0, A^{- 1}  exists if- AC = CA = I, where I is identity matrix.
  1. The homogeneous equation with coefficient matrix A has a unique solution:

       AB = 0, B = A^{- 1}.0 = 0

      Thus, B = (0, 0, 0......., 0) is a unique solution

     2. The non - homogeneous equation system with coefficient matrix A has  a unique solution:

For an equation- AY = D

Y = A^{- 1}.D is a unique solution

     3. Every non homogeneous equation with coefficient matrix A is not consistent as:

For an equation- AY = D, has a solution.l Thus coefficient matrix is inconsistent whereas augmented matrix is.

      4. Rank of matrix A = n, Thus the column space of A is R^{n}

      5. Since, column space of A = R^{n}, thus x→xA is one-to-one

       

5 0
3 years ago
15 is what percent of 20
Lera25 [3.4K]
100%/x%=20/15
(100/X)*x=20/15*x   --I multiply both sides of the equation by X
100=1.33333333333*x --I divided both sides of the equation by                     .........................................(1.33333333333) to get X
100/1.33333333333=x
75=x
x=75

15 is 75% of 20

6 0
3 years ago
A number to the 12th power divided by the same number to the 9th power equals 125 what is the number
nadezda [96]

If x to the 12th power is divided by x to the 9th power:

Since they share same bases, and are being divided, it would be the same as x^{12 - 9), or x^{3}

Now, simply find the cube root of 125, which is 5.

Therefore, the number (x) must be equal to 5.

<em>Hope this helps! :)</em>

7 0
3 years ago
The sum of the quotient of a number and and 3 and 8 is 16 what is the number
zhuklara [117]
After having done this on paper:

\frac{n}{3} + 8 = 16

We want to isolate the variable, and the first step is to subtract the 8.

\frac{n}{3} = 8

Since the <em>n</em> is being multiplied by 3, and that = 8, we can multiply both sides by 3.

<em>n</em> = 24

Let me know if this helped you understand better.

Also, you can check this by substituting in 24 for <em>n</em>.
5 0
3 years ago
How I divide by negative?? I forgot completely
allochka39001 [22]

Answer:

I hope this helps. If I misunderstood the question let me know

Step-by-step explanation:

1. When dividing a negative by a negative, your answer would be positive.

2. When dividing a negative by a positive, your answer will be negative.

3. When dividing a positive by a negative,your answer will be negative.

3 0
2 years ago
Read 2 more answers
Other questions:
  • For f(x)=4x+1 and g(x) = x2-5, find (f+g)(x)<br> A. x2+4x-4 B. x2+4x+6 C. 4x2-19 D. 4x3-4
    15·1 answer
  • Write the Recursive Rule for the sequence:
    11·1 answer
  • Please help meeeeeeee
    11·2 answers
  • I need math help and I have the questions and images saved on a word document. To make it easier for myself does anyone know if
    13·1 answer
  • 1. What does it mean to find the cube root of a number?
    15·2 answers
  • What will you multiply by (−x+2) to find the first product? , 1 of 2.
    11·1 answer
  • Apples are on sale at four different grocery stores. Which store offers the
    10·1 answer
  • Can you solve for x pls
    8·1 answer
  • The question is in the picture
    7·1 answer
  • Which of the following could be the equation of the function below?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!