Find the distance between each pair of parallel lines with the given equations y=5x-22 y=5x+4
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avikeshnirmal2 4 years ago
Светило науки - 15 ответа - 0 помощи
find the coordinates of the lines and substitute in the distance formula
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psm22415 1 week ago
Светило науки - 827 ответа - 0 помощи

The distance between given parallel lines will be equal to or 5.3

The equation of parallel lines is given which is ; y = 5x - 22 and y = 5x + 4.

We have to find out the distance between each pair of parallel lines.

What is the formula to find out the distance between parallel lines ?

The formula to find out the distance between parallel lines is where c1 and c2 are the intercepts of line.

As per the question ;

The equations given are ;

5x - y - 22 = 0

5x - y + 4 = 0

We know that the distance between parallel lines is given by  ;

d = here ;

c1 and c2 are the intercepts.

a and b are the coefficients of variable x and y in the equation of the line

So ;

c1 = -22 and c2 = 4

a = 5 and b = -1

Putting these values in distance formula ;

d = d = d = d = or

d = 5.30

Thus , the distance between given parallel lines will be equal to or 5.3