how to find the slope of a line that is parallel?
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Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this 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 4x – 5y = 12 is m = 4/5.
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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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Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1.
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To find the slope of a line perpendicular to a given line, we must take the negative reciprocal of the slope of the given line. Thus the slope of line k is the negative reciprocal of 2/5 (slope of line m), which is -5/2.
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Explanation: First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. The slope of the line is -3/8. A parallel line will have the same slope, thus -3/8 is the correct answer.
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['Calculate the slope of the original line. ... ', 'Take the reciprocal of the original slope. ... ', 'Calculate b, the y intercept of the new line using the new slope and the point given along that line.', 'Put all of the information together in point slope form.']
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To determine the slope of a line passing through two points, we need to know the coordinates of 2 points on the line. Then the slope of the line is given by the quotient of the difference between the y-coordinates and the difference between the x-coordinates. i.e. slope = (y2 - y1) / (x2 - x1).
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Then find the slope of the line between the opposite vertex and each midpoint. For example, the median from R has slope (yR - yM) / (xR - xM) = (2 - 4) / (6 - 4) = -2 / 2 = -1.
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Using two of the points on the line, you can find the slope of the line by finding the rise and the run. 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: .
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To find the slope, we will need two points from the line. Pick two x's and solve for each corresponding y: If, say, x = 3, then y = ( 2/3 )(3) - 4 = 2 - 4 = -2. If, say, x = 9, then y = ( 2/3 )(9) - 4 = 6 - 4 = 2.
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To find the slope of a feature, the horizontal distance (run) as well as the vertical distance (rise) between two points on a line parallel to the feature need to be determined. The slope is obtained by dividing the rise over run. Multiply this ratio by 100 to express slope as a percentage.
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Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be 0. The slope of the parallel line is undefined and the slope of the perpendicular line is 0.
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['x+y=7.', '⇒y=−x+7. ⇒y=(−1)x+7.', 'Here y=(−1)x+7.', '⇒slope=−1 and y-intercept =7.', 'Hence slope of the line is −1.']
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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. Here is a quick review of the slope/intercept form of a line.
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To find the slope of an equation given in y=mx+b, balance the equation until y is by itself without any constants. First subtract 8 from both sides to get 4y = 6x + 10. Next, divide the equation by the constant 4 to isolate y, giving you y = 3/2x + 5/2.
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The slope for parallel lines have the same slope, so the answer to your question is -3. You can now determine (x, y) points on the line.
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A line that is parallel to the y -axis also has to be vertical. The slope of a line parallel to the y -axis has a slope that is undefined.