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 ;
c1 and c2 are the intercepts.
a and b are the coefficients of variable x and y in the equation of the line
c1 = -22 and c2 = 4
a = 5 and b = -1
Putting these values in distance formula ;
d = 5.30
Thus , the distance between given parallel lines will be equal to or 5.3
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