Considering the slopes of the given lines, they are parallel lines.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
The first line, in standard form, is given by:
5y = x + 5
y = 0.2x + 1.
The slope is of m = 0.2.
For the second line, we have that:
25y = 5x - 75
y = 0.2x - 3
The slope is of m = 0.2.
Same slope, hence the lines are parallel.
More can be learned about the slope of a line at brainly.com/question/12207360
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Answer:
7.21 units
Step-by-step explanation:
The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.
The perpendicular distance (d) between a point (
) and the line Ax + By + C = 0 is given as:
The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)
hence A = 2/3, B = -1, C = -1, 
. Therefore:
Okay ! :) cool wait what this suppose to be a question?
Involving the second and no higher power of an unknown quantity or variable.
