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3 years ago

Which of the point-slope equations below are correct for the line that passes through points (-4,-14) and (1,3)?

1 answer:

4 0

(-4,-4)(1,3)
slope = (3 - (-4) / (1 - (-4)
slope = (3 + 4) / (1 + 4) = 7/5

y - y1 = m(x - x1)...using (-4,-4)
slope(m) = 7/5
y - (-4) = 7/5(x - (-4) =
y + 4 = 7/5(x + 4) <==here is one

y - y1 = m(x - x1)..using (1,3)
slope = 7/5
y - 3 = 7/5(x - 1) <== here is the other one

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Goshia [24]

Let's start off with a simple y-intercept form.

y=mx + b
b represents the y intercept so we can substitute it with 2.
y = mx + 2
the point we are given, (1,1) is really just an x and y value. We can also substitute this into the equation.
y = x + 2

Now that we have some type of equation, we can convert it to the form shown in the answer choices by subtracting y from both sides.
0 = x - y + 2
Hope this helps!

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3 years ago

What is the probability of flipping a coin and having heads land up five times in a row

Phantasy [73]

Answer:

1/32

Step-by-step explanation:

P(heads) = 1/2

P(5 heads) = (1/2)⁵ = 1/32

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3 years ago

Printing machine A and printing machine B print the same newspaper printout, but machine B prints at half the rate of machine A.

klemol [59]

Answer:

The answer is below

Step-by-step explanation:

Let us assume the rate of printing in machine A is x per hour and the rate for machine B is y. Given that machine B prints at half the rate of machine A, therefore:

y = (1/2)x (1)

Also, both machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours. Therefore:

200/x + 200/y = 4 (2)

Put y = (1/2)x in equation:

$\frac{200}{x}+\frac{200}{(\frac{1}{2} )x}=4\\ \\ \frac{200}{x}+\frac{400}{x}=4\\\\Multiply\ through\ by\ x:\\\\200+400=4x\\\\4x=600\\\\x=150$

Put x = 150 in equation y:

y=(1/2)150 = 75

Therefore the rate of machine A is 150 newspapers per hour while that of machine B is 75 newspapers per hour

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3 years ago

One hamster weighs 300g less than half the weight of the second. If their combined weight is 1950g,how much does each hamster we

deff fn [24]

Answer: masses are 825 g and 1125 g

Step-by-step explanation: masses of hamsters are x and x+ 300 g.

Total mass is x+(x+300) = 1950

2x = 1650 g and x= 825

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2 years ago

Please help me figure this out

grin007 [14]

I believe the answer is B

6 0

3 years ago

Read 2 more answers