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BARSIC [14]
2 years ago
14

find an equation of the line through the given points. give the final answer in slope-intercept form (-2,2) (4,-1)​

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
4 0

to get the equation of any straight line, we simply need two points off of it, let's use the points in the picture below.

(\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}}\implies \cfrac{-3}{4+2}\implies \cfrac{-3}{6}\implies -\cfrac{1}{2}

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-2 = -\cfrac{1}{2}(x+2)\implies y-2=-\cfrac{1}{2}x-1\implies y=-\cfrac{1}{2}x+1

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Hitman42 [59]

Answer: 2.127

Step-by-step explanation:

For this problem, we have to divide the number 212.7 by 100 cookies.

212.7 ÷ 100 = 2.127

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5 0
3 years ago
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Suppose the probability of an irs audit is 2.8 percent for U.S. taxpayers who file form 1040 and who earn 100,000 or more. What
stiks02 [169]

Answer:

So, the odds that a taxpayer would be audited 28 to 972 or 2.88%

Step-by-step explanation:

Given

Let P(A) = Probability of irs auditing

P(A) = 2.8%

Let n = number of those who earn above 100,000

To get the odds that taxpayer would be audited, we need to first calculated the proportion of those that will be audited and those that won't.

If the probability is 2.8% then 2.8 out of 100 will be audited. That doesn't make a lot of sense since you can't have 2.8 people; we multiply the by 10/10

i.e.

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P = 28/1000

The proportion of those that would not be audited is calculated as follows;

Q = 1000 - P

By substituton

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3 0
3 years ago
Help!!! Find the center and radius of the circle with the equation (x-4)²+(y+6)²=16
WITCHER [35]

Answer:

Center:  (4,-6)

Radius: 4

Step-by-step explanation:

It is necessary to remember that the Equation of the circle in Center-radius form, is:

(x -h)^2 + (y-k)^2 = r^2

Where the center of the circle is at the point (h, k) and the radius is "r".

Then, given the following equation of the circle:

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(4,-6)

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r^2=16\\\\r=\sqrt{16}\\\\r=4

5 0
2 years ago
Read 2 more answers
Which expression can be used to solve 3/5 divide by 7/10
kramer

Answer:

\frac{3}{5} *\frac{10}{7}  

=  \frac{30}{35} =\frac{6}{7}

7 0
3 years ago
60 is 5 times greater than k expression
Alik [6]
60=5k 
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60/5=5k/5
12=k 
I hope this helped!
6 0
2 years ago
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