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arsen [322]
3 years ago
8

What is an equation of the line that passes through the points (4,-6) and has a slope of -3

Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

1) y = -3x + 6  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula y-y_1 = m (x-x_1) and substitute values for m, x_1, and y_1.  

Since m represents the slope, substitute -3 in its place. Since x_1 and y_1 represent the x and y values of the point the line intersects, substitute the x and y values of (4,-6) into the formula as well. This gives the following equation:

y+6 = -3(x-4)

2) Now, isolate the y in the equation to put it in slope-intercept form and find the answer.

y + 6 = -3(x-4)\\y + 6 = -3x+12\\y = -3x+6

So, the first option is correct.

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Gasoline costs $3.00 per gallon at a gas station. In the table below, enter the cost for each number of gallons purchased. Then,
Bess [88]

Answer:

I'm not 100 percent sure but but part a is

0              0

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and then part b is letter A

Step-by-step explanation:

hope this helps

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4 years ago
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Write three ordered pairs for direct variation relationship where y= 12 when x= 16
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y = kx

12 = k(16)

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3 0
3 years ago
What is 10 times 90 divided by -19
Semenov [28]
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4 years ago
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After releasing of radioactive material into.The atnosphere from.A nuclear.Powe plant in a country in 1988, the hay in that coun
Radda [10]

Answer:

the question is incomplete, so I looked for a similar one:

<em>After the release of radioactive material into the atmosphere  from a nuclear power plant, the hay was contaminated by iodine  131 ( half-life, 8 days). If it is all right to feed the hay to cows  when 10% of the iodine 131 remains, how long did the farmers  need to wait to use this hay? </em>

iodine's half life (we are given x, we need to find b):

0.5A₀ = A₀eᵇˣ

x = 8 days

we eliminate A₀ from both sides

0.5 = eᵇ⁸

ln 0.5 = ln eᵇ⁸

-0.69315 = b8

b = -0.69315 / 8 = -0.08664

since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):

0.1A₀ = A₀eᵇˣ

0.1 = eᵇˣ

ln 0.1 = bx

where b = -0.08664

x = ln 0.1 / -0.08664  = -2.302585 / -0.08664  = 26.58 days

4 0
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