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
Damm [24]
3 years ago
8

1. For the linear equation y = -4x + 6, state the slope and y-intercept. *

Mathematics
1 answer:
musickatia [10]3 years ago
3 0

Answer:

The answer to your question is slope = -4, y-intercept = 6

Step-by-step explanation:

Data

Equation          y = -4x + 6

slope = ?

y-intercept = ?

Process

If we have the equation of a line in the slope y-intercept is very easy to find the values.

The slope is the coefficient of the x.

The y-intercept is the independent term ( the number after the x).

From the equation given, the slope = -4

                                           the y-intercept = 6

You might be interested in
Solve for x, y, and z. <br> y=1/2z<br> x+2y+5z=2<br> 3x+6y-3z=9
Contact [7]
Rearrange the equation,

0x + y - ½z = 0 ==> Equation 1
x + 2y + 5z = 2 ==> Equation 2
3x + 6y - 3z = 9 ==> Equation 3

Put the 3 equation in matrix form,

0\ \ \ \ \ 1\ \ -{\frac{1}{2} }\ \ \ \ \ \ \ \ 0 \\ 1\ \ \ \ \ 2\ \ \ \ \ \ \ 5\ \ =\ 2 \\ 3\ \ \ \ \ 6\ \ -3\ \ \ \ \ \ \ \ \ 9

Find the determinant, D, of the matrix,

0\ \ \ \ \ 1\ \ -{\frac{1}{2} } \\ 1\ \ \ \ \ 2\ \ \ \ \ \ \ 5\ = \ D \\ 3\ \ \ \ \ 6\ \ -3

By Sarrus' rule,
D = [(0 × 2 × -3) + (1 × 5 × 3) + (-½ × 1 × 6)] - [(-½ × 2 × 3) + (5 × 6 × 0) + (-3 × 1 × 1)]
D = [0 + 15 + (-3)] - [(-3) + 0 + (-3)]
D = 12 + 6
D = 18

By cramer's rule,

x = Determinant of x ÷ D
Let determinant of x = Dx,

0\ \ \ \ \ 1\ \ -{\frac{1}{2} } \\ 2\ \ \ \ \ 2\ \ \ \ \ \ \ 5\ = \ Dx \\ 9\ \ \ \ \ 6\ \ -3
To get this determinant, substitude 0, 2 and 9 with the unknown you're finding, in this case, x.

By Sarrus' rule,
Dx = [(0 × 2 × -3) + (1 × 5 × 9) + (-½ × 2 × 6)] - [(-½ × 2 × 9) + (0 × 5 × 6) + (-3 × 1 × 2)]
Dx = [0 + 45 + (-6)] - [-9 + 0 + (-6)]
Dx = 39 + 15
Dx = 54

x = Dx ÷ D
x = 54 ÷ 18
x = 3

By cramer's rule,

y = Determinant of y ÷ D
Let determinant of y = Dy

0\ \ \ \ \ 0\ \ -{\frac{1}{2} } \\ 1\ \ \ \ \ 2\ \ \ \ \ \ \ 5\ = \ Dy \\ 3\ \ \ \ \ 9\ \ -3

By Sarrus' rule,
Dy = [(0 × 2 × -3) + (0 × 5 × 3) + (-½ × 1 × 9)] - [(-½ × 2 × 3) + (5 × 9 × 0) + (-3 × 0 × 1)
Dy = [0 + 0 - 4½] - [-3 + 0 + 0]
Dy = -4½ + 3
Dy = -1½

y = Dy ÷ D
y = -1½ ÷ 18
y ≈ 0.0833 (3 significant figure)

Solving z using equation rule,
y = ½z
0.0833 = ½z
z = 0.0833 ÷ ½
z ≈ 0.167 (3 significant figure)

∴ x = 3, y = 0.0833 and z = 0.167.
7 0
3 years ago
These tables represent an exponential function. Find the average rate of
Varvara68 [4.7K]

Answer:

Since, we are given table for x and y values

and table for average rate of changes

we can see the pattern of average rate of change

average rate of change for 5 to 6 is three times average rate of change for 4 to 5

but we have to find

average rate of change for 7 to 8

so, using same pattern

average rate of change for 6 to 7 is three times average rate of change for 5 to 6

average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)

so, we can plug value

average rate of change for 7 to 8 is 3*3*486

average rate of change for 7 to 8 is 4374

so, option-D...........Answer

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Marta has five baseball cards. Jackson has less in number than Marta does. How many baseball cards could Jackson have ?
ycow [4]

Answer:Jackson could have 4 or less baseball cards

Step-by-step explanation:

8 0
2 years ago
HELP ASAP!!<br>The equation (blank) has no solution​
KengaRu [80]

Answer:

Just to recap, an equation has no solution when it results in an incorrect "equation".

For  example:

Equation: x+3 = x+4

Subtract x: 3 = 4???

But clearly, 3 is not equal to 4, so this equation has NO SOLUTION.

Now onto our problem:

13y+2-2y = 10y+3-y

11y+2 = 9y+3

2y=1

y=1/2

9(3y+7)-2 = 3(-9y+9)

27y+61 = -27y+27

54y = -34

y = -34/54

32.1y+3.1+2.4y-8.2=34.5y-5.1

34.5-5.1=34.5y-5.1

5.1=5.1

infinite solutions

5(2.2y+3.4) = 5(y-2)+6y

11y+17 = 11y-10

17 = -10??

That's not true, so the option "5(2.2y+3.4) = 5(y-2)+6y" has no solution.

Let me know if this helps

6 0
2 years ago
Charlie bought hamburgers and drinks for his coworkers. Each hamburger cost $3.75 and each drink cost 50 cents. In total, Charli
Ahat [919]

Answer:

25.50=3.75h+0.50d

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from −15°F−15°F negative
    14·1 answer
  • Solve this equation. Solve for the letter X<br> -×=-34
    10·2 answers
  • How many times greater is the value of the digit 5 in 853,607 than the value of the digit 5 in 362,051.
    5·1 answer
  • What is 0.90 in fraction
    5·2 answers
  • When playing their favorite game bobby scored 139,750 points while alex scored 99,190 points. Which of the following is the best
    10·1 answer
  • Drew wants to buy sports equipment that costs $140. The sales tax is 8%. What is the total cost of the equipment with the tax?
    11·1 answer
  • 20% of what number is 479<br> 168<br> 0 235<br> O230<br> 094
    7·1 answer
  • PLEASE HELP ASAPPP!!
    5·1 answer
  • Please choose how many solutions there are to this system:
    12·1 answer
  • Trigonometry mixed please help
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!