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lakkis [162]
3 years ago
5

Determine the slope and y-intercept of the graph: 2x + 5y = 10

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Slope is -2/5 and y-intercept is 2

Step-by-step explanation:

  • Step 1: Write the equation in slope-intercept form y = mx + b

2x + 5y = 10

5y = -2x + 10

y = -2/5 x + 10/5

y = -2/5 x + 2

  • Step 2: Find the slope and y-intercept from the equation.

Slope, m = -2/5

y-intercept, b = 2

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Find the distance between the pair of points: (6,−3) and (1,0
rosijanka [135]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\sqrt{34}

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

\text{\underline{The distance formula is:}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⸻⸻⸻⸻

\boxed{\text{Calculating the answer....}}\\\\d = \sqrt{(1-6)^2+(0-(-3))^2}\\--------------\\\rightarrow d = \sqrt{(-5)^2+(3)^2}\\\\\rightarrow d = \sqrt{(25+9)}\\\\\rightarrow d =\boxed{ \sqrt{34} }

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

6 0
3 years ago
Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? The line has a
Ad libitum [116K]

Answer:

The slope is 2/3 and the function is y=2/3x  which is a direct variation function.

Step-by-step explanation:

To find the slope of a line between two points, we use the equation

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

where (x1,y1) and (x2,y2) are the two points

m= (4-2)/(6-3)

  = 2/3

The slope of the line is 2/3

The equation of the line is

y-y1 = m(x-x1)

y-2 = 2/3(x-3)

Distribute

y-2 = 2/3x -2

Add 2 to each side

y-2+2 = 2/3x -2+2

y = 2/3x

This is a direct variation function

Let x = -6

y = 2/3(-6)

y = -4

(-6,-4)

3 0
3 years ago
A science test is worth 100 points and has 25 questions. There are multiple choice questions worth 3 points each and short essay
Dennis_Churaev [7]

Answer:

There can be up to 12 short essay questions

8 0
3 years ago
What's the value of x
Nikolay [14]
X² = hyp² - cat²

x² = 625 - 156.25

x² = 468.75

x ≈ 21,6 
3 0
3 years ago
Read 2 more answers
F(x) = 5x – 20 find f(6), f(10), and f(20)
damaskus [11]

Answer:

f(6) = 10, f(10) = 30, f(20) = 80

Step-by-step explanation:

Plug in the values into the equation and compute. 5*6 - 20 = 10, 5*10 - 20 = 30, 5*20 - 20 = 80.

8 0
3 years ago
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