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Perpendicular lines are a bit more complicated.
Parallel lines have slopes that are math. Have the same slope m for example observe the purple line and the green line in figure 1 below. Parallel lines have the same slope. Write the equation of a line that passes through the point and is parallel to the line y 2 x 3. Solution to question 3.
Intersect to form right angles. Have the negative reciprocal slopes m for example observe the purple line and the green line in figure 2 below. K 2 5. These lines are parallel and have the same slope of m 3 5.
If you visualize a line with positive slope so it s an increasing line then the perpendicular line must have negative slope because it will have to be a decreasing line. Parallel lines have the same slope and will never intersect. Since slope is a measure of the angle of a line from the horizontal and since parallel lines must have the same angle then parallel lines have the same slope and lines with the same slope are parallel. The slope of the line with equation y 2 x 3 is 2.
Find a so that the line through the points 1 2 and 0 3 and the line through the points a 2 and 2 7 are parallel. Parallel lines continue literally forever without touching assuming that these lines are on the same plane. On the other hand the slope of perpendicular lines are the negative reciprocals of each other and a pair of these lines intersects at 90 degrees.
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