Find the slope of the line that passes through the two points
(2, 8) and (3, 14)

Answers

Answer 1

Answer:

The equation of the line that passes through (2, 8) and (3, 14) will be y = 6x - 4.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

$\rm (y - y_2) = \left ((y_2 - y_1)/(x_2 - x_1) \right ) (x - x_2)$

The points are given below.

(2, 8) and (3, 14)

The equation of the line that passes through (2, 8) and (3, 14) will be given as,

(y - 8) = [(14 - 8) / (3 - 2)](x - 2)

y - 8 = 6x - 12

y = 6x - 4

The condition of the line that goes through (2, 8) and (3, 14) will be y = 6x - 4.

More about the line passing through two points link is given below.

brainly.com/question/12740817

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Answer 2

Answer:

Answer:

Step-by-step explanation:

The slope is calculated by finding the change in y-coordinates and dividing that by the change in x-coordinates.

The change in y:

8-14=-6

The change in x:

2-3=-1

The slope:

$slope=(-6)/(-1) =6$

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Two numbers are in the ratio 3:2. If the smaller number is 24, find the larger number
Solve this equation: y/9 + 5 = 0. A. y = –5 B. y = 45 C. y = 5 D. y = –45 User: 12. Solve this problem: –282 – (+1,017) = ? A. 1,299 B. –735 C. –1,299 D. 735

If given f(x) = x 4 and g(x) = –2x2 3x – 1, what is (f – g.(x)?
a. (f –
g.(x) = –2x2 4x – 3
b. (f –
g.(x) = –2x2 – 2x 5
c. (f –
g.(x) = 2x2 2x 5
d. (f –
g.(x) = 2x2 – 2x 5

Answers

f(x) = x + 4
g(x) = -2x^2 + 3x - 1
(f - g)(x) = f(x) - g(x) = x + 4 - (-2x^2 + 3x - 1) = x + 4 + 2x^2 - 3x + 1 = 2x^2 - 2x + 5

Answer:

$2x^2-2x+5$

Step-by-step explanation:

Given,

$f(x)=x+4$

$g(x)=-2x^2+3x-1$

$(f-g)(x)=f(x)-g(x)$ ( Subtraction of two functions )

$=(x+4)-(-2x^2+3x-1)$ ( By substituting values )

$=x+4+2x^2-3x+1$ ( Distributive property )

$=2x^2-2x+5$ ( Combining like terms )

Hence,

$(f-g)(x)=2x^2-2x+5$

Option d is correct.

Leons older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is leon?

Answers

the answer would be 4 5/12

Answer:

1.583 feet

Step-by-step explanation:

4 3/4 is 4.75

4.75/3=1.583

Find the total of 42, 75, 189, 301, and 728

Answers

When we are asked to find the total of something, you just add them up. An easy way to do this is to place them in rows (with 0 as a placeholder so that the units, tens and hundred all line up), then add up each line.

042
075
189
301
728

----

1335

1335 is the total if you add them

What is the period of the graph of the equation y=3cos2x

Answers

$the\ period\ cosx\ is\ 2\pi\n\nthe\ period\ 3cosx\ is\ 2\pi\n\nthe\ period\ 3cos2x\ is\ 2\pi:2=\pi\leftarrow Answer$

Maya earns $6.36 for each hour of work. She worked 7.5 hours yesterday. Find how much she earned yesterday.

Answers

6.36 x 7.5 = 47.7

she earned 47.7$

You need to multiply, so $6.36*7.5=$47.7

The gross income of Ginger Hughes is $212 per week. Her deductions are: $15.16,FICA tax;$29.33,income tax; 2% state tax; 1%city tak; and 3% retirement fund. What is her net income?