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OLEGan [10]
3 years ago
8

in order for students to have a club at school they need a minimum of 22 students. If there are 17 students signed up for the cl

ub, how many more students does the club need
Mathematics
1 answer:
muminat3 years ago
4 0

Answer: 5 more students need to sign up.

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The equation of line with slope  \frac{5}{4}  and points  ( - 1 , 3 ) is y =  \frac{5}{4} x +  \frac{17}{4}

Step-by-step explanation:

Given equation of a line as :

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∵ Another line is passing through points ( - 1 , 3 ) , and is parallel to given line

Now <u>if two lines are parallel then slope of both lines are equal </u>

Let The slope of another line = M

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∴ The equation of line with slope \frac{5}{4}  and passing through points ( - 1 , 3 ) is

y - y_1 = M × ( x -  x_1 )

Or, y - 3 =  × \frac{5}{4}  ( x + 1 )

or,  4 × (  y - 3 ) =  5 ×   ( x + 1 )

Or,  4 y - 12 = 5 x + 5

Or,  4 y = 5 x + 17

∴   y =  \frac{5}{4} x +  \frac{17}{4}  

Hence The equation of line with slope  \frac{5}{4}  and points      ( - 1 , 3 ) is y =  \frac{5}{4} x +  \frac{17}{4}   Answer

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