What is the equivalent of 3/6

Answer:

1) The equation of the line is y =   x + 4

2) The equation of the line is y = -12x + 8

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

• m is the slope of the line, m = Δy/Δx (chang of y/change of x)

• b is the y-intercept (value y at x = 0)

Let us solve the two questions

1)

∵ points (-2, 5) and (2, 3) lie on the same line

→ Find the slope m

∵ Δ x = 2 - (-2) = 2 + 2 = 4

∵ Δ y = 3 - 5 = -2

∴ m =

∴ The slope of the line is

→ Substitute the value of m in the form of the equation above

∴ y =   x + b

→ To find b substitute the x and y in the equation by the coordinates

   of a point on the line

∵ Point (-2, 5) lies on the line

∴ x = -2 and y = 5

∵ 5 =  (-2) + b

∴ 5 = 1 + b

- Subtract 1 from both sides

∴ 5 - 1 = 1 - 1 + b

∴ 4 = b

→ Sustitute it in the equation

∴ y =   x + 4

The equation of the line is y =   x + 4

2)

∵ The slope of the line is -12

∴ m = -12

∵ The line passes through point (0, 8)

∵ b is the value of y at x = 0

∴ b = 8

→ Substitute the values of m and b in the form of the equation above

∴ y = -12x + 8

The equation of the line is y = -12x + 8

Final answer:

The equations of the lines are y=-0.5x+4 and y=-12x+8 respectively. For the first line, the slope is computed using provided points and the y-intercept is calculated using one of the points and the slope. For the second line, we use provided slope and point to write the equation.

Explanation:

Firstly, let's deal with the first part of the question. To write the equation of the line, we first need to calculate the slope. The slope (m) is calculated as (y2-y1)/(x2-x1). Using the points (-2,5) and (2,3) we find m=(3-5)/(2-(-2))= -2/4 = -0.5. The y-intercept (b) is the y value when x = 0. To find b, let's use the point (-2,5) and the slope in the equation y=mx+b. We get 5=(-0.5)*-2+b, hence b= 5-1= 4. So line equation  is y=-0.5x+4.

For the second part of the question, we know that the slope (-12) and it passes through the point (0,8). So the y-intercept is 8 when x=0. Therefore, the equation of this line is y=-12x+8.

Learn more about Line Equations here:

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Answer:

it is not a direct variation

Step-by-step explanation:

To have a direct variation

y/x = k for all values of x and y

y/x = 11/7

y/x    = 13/8

y/x = 15/9 = 5/3

y/x = 17/10

11/7 does not equal 13/8 so  it is not a direct variation

Answer:

Not direct variation.

Step-by-step explanation:

To have direct variation, each division of a y value by its corresponding x value must give the same answer.

Look at x = 7, y = 11

Do y/x = 11/7 = 1.5714...

Now look at x = 8, y = 13

Do y/x = 13/8 = 1.625

Since the two divisions do not give equal results, this is not direct variation.

To answer this question we have to first determine how many times 100 can go into 13,300. To find this we do the following:

$13,300/$100 = 133

Now we simply multiply the result by $2.74:

$2.74*133 = $364.42.

Finally we just multiply that by the total number of payments which are (monthly payment, 12 months in a year, for 4 years).

$364.42*(12*4) ---> $364.42*48 = $17,492.16.

The correct answer is choice 4.) 17,492.16

I hope this helps, Regards.

Answer:

17,492.16

Step-by-step explanation:

Answer:

slope=1/2, y-int=-1

Step-by-step explanation:

y=mx+b

m=1/2

b=-1