can perpendicular lines have the same y intercept?
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They are not the same line. ... The slopes of the lines are the same and they have different y-intercepts, so they are not the same line and they are parallel. Perpendicular Lines. Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other.
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Correct answer: A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.
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Figure 20. Perpendicular lines do not have the same slope. The slopes of perpendicular lines are different from one another in a specific way. The slope of one line is the negative reciprocal of the slope of the other line. The product of a number and its reciprocal is 1.
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There is no reason why parallel line segments or perpendicular line segments can or cannot have specific lengths. So yes, they can.
965545
The equation of a line is in the form y=mx+b form, where m is the slope and b is the y-intercept. Perpendicular lines have negative reciprocal slopes. The slope of the given line is 3. Therefore, the slope of the line that is perpendicular to the given line is -1/3.
630031
Perpendicular lines are a bit more complicated. 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). So perpendicular lines have slopes which have opposite signs.
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First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.
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Properties of perpendicular lines These lines always intersect at right angles. If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
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If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Also, the absolute values of their slopes are reciprocals.
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If two lines are perpendicular, the slopes are negative reciprocals. (The product of the slopes = -1.) since their slopes of 0 have undefined reciprocals. Vertical and horizontal lines are perpendicular.
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A line perpendicular to Line M will have a negative reciprocal slope. Thus, the answer is y = (1/7)x + 3.
336069
Correct answer: Find the slope of the given line. The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b. Convert back to standard form of an equation: ax + by = c.
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Two lines are perpendicular if and only if they form a right angle. Perpendicular lines always form a right angle of 90º. While perpendicular lines may appear in a slanted or a horizontal position on paper, the lines must always intersect to form a right angle.
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These lines always intersect at right angles. If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
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If two lines are perpendicular, the slopes are negative reciprocals. ... since their slopes of 0 have undefined reciprocals. Vertical and horizontal lines are perpendicular. For ease of computation, translate the perpendicular lines so the point of intersection will be the origin.
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Explanation: Find the slope of the given line. The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b.
387882
This means, by definition, those two lines are also perpendicular to one another! Let's look at the square. The square is made of four lines. Because each line is perpendicular to two other lines, a square has four right angles.