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leonid [27]
3 years ago
12

Write the equation of the line that passes through (3, -2) and has a slope of 4 in point slope form

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
6 0

y = mx + b is the equation of a line;


m = slope , b = y-intercept


m = 4 : so we have : y = 4 x +b


We are give a set of points which it passes through, we can simply plug them in:


-2 = 4(3) + b (3 is the x and -2 is the y)


Then: -2 = 12 +b -14 = b


The final equation is : y = 4 x - 14

The answer is: y = 4 x - 14


I hope this helps have a fantastic day!!

diamong [38]3 years ago
4 0

y=mx+b is the equation of a line;

m=slope , b= y-intercept

m=4 ; so we have : y=4x+b

We are give a set of points which it passes through, we can simply plug them in:

-2 = 4(3)+b (3 is the x and -2 is the y)

We get -2 = 12 +b .... -14=b

our final equation is : y=4x-14

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5 0
3 years ago
the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls
Inessa05 [86]
First, make up some variables to represent the number of Girls and Boys in the choir.  

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys.  Therefore, the equation you can write is:
\frac{B}{G} =  \frac{1}{4}

If you cross-multiply, then you get the simplified equation:
G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48

The number of girls you have is 48.

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3 years ago
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