Question

Find the distance between the pair of parallel lines with the given equations.

Answer 1

The distance between the two parallel lines is 26 units

What is are parallel lines?

Parallel lines are lines that do not meet or intersect.

If y = mx +c as the equation of a straight line

For the line y = -5x

comparing with the standard equation of a line,

y = -5x has no y-intercept, so the coordinates of the point is (0,0)

For the second line y = -5x + 26

comparing with the standard equation

The y-intercept is 26, which means the coordinates of the point is (0, 26)

The distance between these two points is the distance between the two lines.

Formula for distance between two point,

D = $\sqrt{(y_{2} -y_{1}) ^{2} + (x_{2} - x_{1}) ^{2} }$

D = $\sqrt{(26-0)^{2} + (0-0)^{2} }$

D = 26 units

In conclusion, the distance between the two parallel lines is 26 units

Learn more about parallel lines: brainly.com/question/24607467

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