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Aneli [31]
3 years ago
9

What is an equation of the line that passes through the points of (0,-4) and (-4,6)

Mathematics
1 answer:
dusya [7]3 years ago
8 0

Answer:

y = -5/2x - 4

Step-by-step explanation:

(0,-4) and (-4,6)

Slope:

m=(y2-y1)/(x2-x1)

m=(6+4)/(-4-0)

m=10/-4

m= -5/2

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = -5/2(x - 0)

y + 4 = -5/2x

y = -5/2x - 4

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Is the relation a function?<br><br> Select Yes or No for each relation.
Lina20 [59]
Hello! There are a few things that determine whether or not something is a function. In this case, to determine whether a relation is a function, we look at the domains, which are the x-coordinates, the first number of the pair. If the number occurs in the x-coordinate for more than one pair in a relation, then it's not a function. If a number only occurs as an x-coordinate once in the relation, then it's a function. In other words, they each have only one y-coordinate in the relation. For this question, the first, second, and third relations are functions. The fourth one is not a function, because the 3 has more than one y-coordinate, so it occurs as an x-coordinate more than once. Here are the answers easier to read.

1st : yes
2nd: yes
3rd: yes
4th: no
3 0
3 years ago
Help ASAP will give brainilist
Elenna [48]
It would be: 4 / 2/5

We can re-write it as:

4 * 5/2

= 20/2

= 10

In short, Your Answer would be: 10

Hope this helps!
5 0
4 years ago
Read 2 more answers
The table below represents a proportional relationship. The unit rate of the relationship is
jek_recluse [69]

Answer:

the unit rate is 3

7 0
3 years ago
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations
DIA [1.3K]

Answer: Let's solve for x.

−x−y=6

Step 1: Add y to both sides.

−x−y+y=6+y

−x=y+6

Step 2: Divide both sides by -1.

−x

−1

=

y+6

−1

x=−y−6

Answer:

x=−y−6

Let's solve for x.

5x−7y=66

Step 1: Add 7y to both sides.

5x−7y+7y=66+7y

5x=7y+66

Step 2: Divide both sides by 5.

5x

5

=

7y+66

5

x=

7

5

y+

66

5

Answer:

x=

7

5

y+

66

5

Step-by-step explanation:

7 0
2 years ago
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