how are the slopes of parallel lines related?
314986
In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.
1227296
In the coordinate plane, all vertical lines are parallel to the y-axis, and are parallel to one another. But, the slopes of vertical lines are undefined since vertical lines have no "run".
365263
The difference between equal lines and parallel lines is that equal lines consist of precisely the same points, whereas parallel lines have no points in common. Line are not numbers. They can't be equal. ... Two lines are parallel if they does not meet in any point (when extended).
667500
The line x=-3 is a line parallel to the y-axis. So a line perpendicular to it will have a slope parallel to the x-axis or its slope is 0.
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The Slope of a Line. The slope of a line is how steep the line is and whether the line is an uphill or a downhill. Slopes can be whole numbers or fractions and either positive or negative.
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Slope is always perpendicular to contour lines. The less separation between contour lines means steeper slope and vice versa. When there are evenly spaced contours, slope is uniform.
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In a graph, a line parallel to Y-axis is called Vertical Line. It is a straight line which goes from top to bottom. Similarly, the line which goes from left to right and parallel lines to x-axis is called a horizontal line.
1112532
If you multiply the slopes of two perpendicular lines in the plane, you get −1 . That is, the slopes of perpendicular lines are opposite reciprocals . (Exception: Horizontal and vertical lines are perpendicular, though you can't multiply their slopes, since the slope of a vertical line is undefined.)
743081
Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3. Let's look at the line 2x + 3y = 4.
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Perpendicular Lines and Slopes The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.
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Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times.
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The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
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Answer and Explanation: When contour lines are closer to each other, the slope is steep. When contour lines are further apart from each other, the slope is gentle.
48027
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line is usually represented by the letter m. (x1, y1) represents the first point whereas (x2, y2) represents the second point.
1280045
To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5. ... All you need to move forward is the slope!
831743
The x -axis is a horizontal line with the equation y=0 . There are an infinite number of lines that are parallel to the x -axis, y=0. ... If lines are parallel then they have the same slope. The slope of a line parallel to the x -axis is 0.
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['The equation of the line in the slope-intercept form is y=2x+5.', 'The slope of the parallel line is the same: m=2.', 'So, the equation of the parallel line is y=2x+a.']