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2 years ago

What is the equation of the line that passes through the point (-5,2) and has a slope of 4/5

Mathematics

2 answers:

Lady bird [3.3K]2 years ago

7 0

Answer:

y = $\frac{4}{5}$ x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{4}{5}$ , then

y = $\frac{4}{5}$ x + c ← is the partial equation

To find c substitute (- 5, 2 ) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = $\frac{4}{5}$ x + 6 ← equation of line

Ainat [17]2 years ago

4 0

Answer:

Below.

Step-by-step explanation:

Use the point-slope form of a straight line.

y - y1 = m(x - x1)

Here m = 4/5, x1 = -5 and y1 = 2, so

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

y - 2 = 4/5 x + 4

y = 4/5x + 6 is the answer in slope-intercept form.

Standard form:

Multiply through by 5:

5y = 4x + 30

4x - 5y = -30 is the answer in standard form.

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Carlos and Lily want to know the combined amount of money they made last week. They both made $12 per hour, but Carlos also made

steposvetlana [31]

Answer:

Lily is right

Step-by-step explanation:

Carlos made:

12C + 35

Lily made:

Together they made:

12C + 35 + 12L = 12(C + L) + 35

Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.

6 0

2 years ago

HELP NOW!!!!

VMariaS [17]

Using the concept of probability and the arrangements formula, there is a

0.002 = 0.2% probability that the first 8 people in line are teachers.

----------------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

$A_n = n!$

----------------------------------

The desired outcomes are:

First 8 people are teachers, in 8! possible ways.
Last 4 are students, in 4! possible ways.

Thus, $D = 8! \times 4!$

----------------------------------

For the total outcomes, number of arrangements of 12 people, thus:

$T = 12!$

The probability is:

$p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002$

0.002 = 0.2% probability that the first 8 people in line are teachers.

A similar problem is given at brainly.com/question/24650047

7 0

3 years ago

Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.

Elenna [48]

Answer:

a = 14

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

$\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}$

4 0

3 years ago

Using the variable x for unknown number what is five more than the quotient of a number and 6 equals 7

Kitty [74]

Answer:

x = 12

Step-by-step explanation:

"Using the variable x for unknown number what is five more than the quotient of a number and 6 equals 7" translates into 5 + x/6 = 7.

To solve use inverse operations.

$5 + \frac{x}{6} = 7\\\\\frac{x}{6} = 2 \\\\ x = 12$

8 0

3 years ago

Louis’s bill from dinner at a restaurant is $27.62 before tax. The local tax rate is 7.5%. Louis would like to leave a 20% tip o

shtirl [24]

As Louis is only leaving a 20% tip on the pretax bill, this means he's leaving 20% of $27.62
The best thing to do is to find 10% and double it.
27.62/10= 2.76 (as it rounds down)
2.76*2= 5.52
Therefore, you've got to add $5.52 to $27.62
$5.52+$27.62= $33.14
Hope this helps :)

4 0

2 years ago