Using these coordinates, (3, 1/4) and (-2, -1) write an equation in Point-Slope, Slope-Intercept, and Standard Form.

Answers

Answer 1

Answer: Answer here $\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 } = (-1 - (1)/(4))/(-2 - 3) = ( - (5)/(4))/(-5)= ( - (5)/(4)\cdot4)/(-5\cdot4) =(-5)/( -20) =\boxed{ \bf{ (1)/(4)}}$

The slope is 1/4.

The equation in point-slope form is:
y - (-1) = 1/4(x - (-2))
$\boxed{\bf{y + 1 = (1)/(4)(x+2)}}$

In slope-intercept form, it is:
y + 1 = 1/4(x+2)
$\boxed{\bf{y = (1)/(4)x - (1)/(2)}}$

In Standard form it is:
y = 1/4x - 1/2
1/2 = 1/4x - y
Multiply both sides by 4
2 = x - 4y
$\boxed{\bf{x-4y=2}}$

I hope that helps. :)

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Aiden measures a book with paper strips. It is actually 10 paper strips long, but he gets an answer of 8. What is his mistake?

Answers

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A company produces 3 tons of cereal each week. How many 12-ounce cereal boxes can be filled each week?

Answers

First, convert 3 tons to ounces.
3 tons = 96,000 ounces. Divide this by 12 ounces.
96,000/12 = 8000
So, 8000 boxes can be filled each week!
Hope this helps!!

3 ton= 96000 ounces/12 ounces= 8000 (Is the answer!)
Have a nice day!

What is the average rate of change over the interval between x = 0 and x = 3 ofthe function y= 2^x.

Answers

Answer:

7/3

Step-by-step explanation:

fb - fa / b - a

which is b=3,a=0

What is the unit rate?
There are 49 houses in 7 blocks.
houses per block.

Answers

Answer: 1 house per block

Step-by-step explanation: 49/7 = 7

Answer:

1 House per block.

Step-by-step explanation: Divide 49 and 7 to get 7, which makes it one block.

A store has thirty-five sodas, which is seven times the number of regular sodas they have. How many regular sodas do they have?

Answers

35/7=5, so 5 regular sodas

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What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?Use 3.14 to approximate pi and express your answer in hundredths.

cm3

Answers

volume of a cone= radius^2 (pi) height/3
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48(pi)
48(3.14)=150.72
answer= 150.72 cm^3

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