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Sedaia [141]
2 years ago
6

A line passes through the points (2, -4) and (6, 10). What is the equation of the line?

Mathematics
1 answer:
Dmitry [639]2 years ago
7 0
The slope would be calculated as m = (y2 -y1)/(x2-x1)
So plugging in it would be m = (10- (-4))/(6-2) = 3.5
Then plugging into point slope form which is y - y1 = m(x - x1)
You would get y - 10 = 3.5(x-6) which simplifies is
Y = 3.5x -11
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3. For the equation-4y = &amp;r, what is the constant of variation? (1 point)<br> ООО<br> 02
alexandr1967 [171]

Answer:

3).

- 4y = 8x \\  \frac{y}{x}  =  \frac{8}{ - 4}  \\  \frac{y}{x} =  - 2 \\ y =  - 2x \\ hence \: constant \: is \:  - 2

4).

y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k =  \frac{24}{8}  \\ k = 3 \\ value \: of \: constant = 3

If it was by 10, k = 3 by 10

k = 30

5).

general \: equation \: of \: line  \\ y = mx + c \\ but \: m =  \frac{2}{3}  \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y =  \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27

7 0
3 years ago
Y=-1/4x-5 and 2x+8y=56 determine if paralllel ,nethier or perpendicular
Dominik [7]

Answer:

Parallel

Step-by-step explanation:

In the slope-intercept form (y=mx +c), the coefficient of x tells us the slope of the line.

2x +8y= 56

Let's rewrite this equation into the slope-intercept form.

8y= -2x +56

Dividing both sides by 8:

y=  -  \frac{2}{8} x +  \frac{56}{8}

y =  -  \frac{1}{4} x + 7

Slope= -¼

y= -¼x -5

Slope= -¼

Since both lines have the same slope, they are parallel to each other.

3 0
2 years ago
Find the slope of the line that contains (6,-4) and (-4,-4)
frez [133]

Answer:y = -4

Step-by-step explanation: In order to find the slope by these two points, (6,-4), and (-4,-4), you must use the slope formula:

rise/run, which is this case, is y2-y1 / x2 - x1 <--- this is the slope formula

Let 6 be x2, -4 be x1, y2 be -4, and y1 being -4, plug these numbers in.

-4-(-4) / 6- (-4)

-4 + 4/ 6 +4

0/10 The slope of the line is zero, with a y-axis at -4. We know this because there is a zero in the final result and the y- coordinate between (6,-4) and (-4,-4) do not change in the slightest.

The final answer is then y = -4

5 0
3 years ago
Most of the heat loss for outdoor swimming pools is due to surface
fgiga [73]

Answer:

rectangle

Step-by-step explanation:

Perimeter of 20 feet

rectangle (square is technically a rectangle):

sides 5 and 5

5*5 = 25ft²

Circle:

20/(2π) = 3.18309...

3.1809...²π = 31.831ft²

Max area of rectangle (i.e. square) has a smaller area than a circle.

5 0
3 years ago
Which is faster a car driving at a rate of 40 kph or a car at driving at a rate of 15 metres a second
LuckyWell [14K]
40 kph is equal to abt 11 mps so that means 40kph is faster
7 0
3 years ago
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