what is the slope of a line that is parallel to the line shown?
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Step 1: Find the slope of the line. 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.
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Parallel & perpendicular lines from graph. The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals.
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Explanation: Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is -2. The reciprocal of -2 is -1/2, so the opposite of the reciprocal is therefore 1/2.
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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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Explanation: the slope of a line parallel to the x -axis has slope 0 . the slope of a line perpendicular to another will have a slope which is its negative reciprocal. the negative reciprocal of a number is −1 divided by the number (e.g. the negative reciprocal of 2 is −12 , which is −12 ).
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The x-axis or any line parallel to the x-axis has a slope of zero. The y-axis or any line parallel to the y-axis has no defined slope.
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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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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. So, you can choose any 2 points along the graph of the line to figure out the slope.
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Slope of a Line (Coordinate Geometry) Definition: The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
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['Horizontal and Vertical Lines and Their Slopes.', "Recall the slope of a line is a numerical measure of the steepness of the line. We can find a line's slope using the slope formula or the slope-intercept form. • ... ", ', = 1,3 and.', ', = 4,3, we get.', '= − − ... ', '3 − 3. 4 − 1.', '= = 0. ... ', 'The slope of any horizontal line is zero, 0.']
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The slope of a line can be thought of as 'rise over run. ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it.
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Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.
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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.']
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An undefined slope indicates that we have a vertical line parallel to the y-axis and passing through all points in the plane with an x-coordinate = constant ( c) The equation is written in the form x = c.
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The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is −3 - 3 . To find an equation that is parallel to y=−3x+2 y = - 3 x + 2 , the slopes must be equal.
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The slope would be 2. Any line parallel to another will always have the same slope.
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To make an equation with a horizontal line of a slope of 0 would it be y= or x=?