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ashleyk
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Find an equation of each line normal to the graph y=2x/(x-1) and parallel to the line 2x-y+1=0
ashleyk said:I understand that a normal line is perpendicular and I know what the parallel line is. I know that you have to take a derivative to get the slope. But I'm assumimg the equation must be both normal and parallel(?)
ashleyk said:Find an equation of each line normal to the graph y=2x/(x-1) and parallel to the line 2x-y+1=0
Normal lines are those that intersect at a 90-degree angle, also known as perpendicular lines. Parallel lines, on the other hand, are lines that never intersect and maintain the same distance between them at all points.
Two lines are parallel if they have the same slope. This means that their steepness or incline is equal. Another way to determine parallel lines is by using the slope-intercept form of the equation, where the slopes are the same but the y-intercepts are different.
No, normal lines cannot be parallel because they intersect at a 90-degree angle. Parallel lines, by definition, do not intersect at any point. However, normal lines can be perpendicular to parallel lines.
Normal and parallel lines are used in many fields, such as architecture, engineering, and mathematics. In architecture, normal and parallel lines are used to create structures that are strong and stable. In engineering, they are used to design roads, bridges, and buildings. In mathematics, normal and parallel lines are used to solve equations and analyze geometric shapes.
To draw normal lines, you will need a protractor to measure a 90-degree angle. Place the protractor at the point where the lines will intersect and draw a line at the designated angle. To draw parallel lines, you can use a ruler and measure equal distances from the original line to create the parallel lines.