how do you find the slope of a line?
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The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
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['The slope of the function is the value of the first derivative of the function at the point x = 1. ... ', 'The slope of the function is the value of the first derivative of the function at the point x = π. ... ', 'The slope of the function is the value of the first derivative of the function at the point x = 2.']
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The slope-intercept formula for a line is y = mx + b, where m is the slope of the line and b is the y-intercept. point on the line, denoted by (x1, y1), and the slope of the line, denoted by m, to calculate the slope-intercept formula for the line.
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['Calculate the slope from 2 points.', 'Substitute either point into the equation. You can use either (3,7) or (5,11)', 'Solve for b, which is the y-intercept of the line.', 'Substitute b, -1, into the equation from step 2.']
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['Take the derivative of the given function.', 'Evaluate the derivative at the given point to find the slope of the tangent line.', 'Plug the slope of the tangent line and the given point into the point-slope formula for the equation of a line, ( y − y 1 ) = m ( x − x 1 ) (y-y_1)=m(x-x_1) (y−y1\u200b)=m(x−x1\u200b), then simplify.']
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['Slope = change in y over the change in x.', 'Slope = (y2 - y1)/(x2 - x1)', 'Slope = rise over run.', 'You can pick any two points on a line to calculate the slope.', 'You can double check your answer by trying different points on the line.', 'If the line is going up, from left to right, the slope is positive.']
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You can't find the slope of a line if only given one point. If you had a visual representation of the line such as a graph or a table you could find a second point and then use the formula for slope, y = (y2-y1) / (x2-x1).
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['Find the derivative and use it to determine our slope m at the point given.', 'Determine the y value of the function at the x value we are given.', "Plug what we've found into the equation of a line."]
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t...” The points of the intecepts are (2,0) and (0,5). to find the equation of the line, you need to put it into slope-intercept form which is y=mx+b, where m is the slope and b is the y intercept. to find the slope you do 5-0 where you subtract the second y (5) from the first y (0).
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You've seen that you can find the slope of a line on a graph by measuring the rise and the run. You can also find the slope of a straight line without its graph if you know the coordinates of any two points on that line. Every point has a set of coordinates: an x-value and a y-value, written as an ordered pair (x, y).
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The slope equation says that the slope of a line is found by determining the amount of rise of the line between any two points divided by the amount of run of the line between the same two points. In other words, Pick two points on the line and determine their coordinates.
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['Pick two points on the line and determine their coordinates.', 'Determine the difference in y-coordinates of these two points (rise).', 'Determine the difference in x-coordinates for these two points (run).', 'Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).']
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Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
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The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
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Find Slope Using Tangent Draw a line tangent to the point using a ruler. Choose another point on the tangent and write its coordinates. Say, (6,7) is another point on the tangent line. Use the formula slope = (y2 - y1)/ (x2 - x1) to find the slope at point (2,3).
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The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation of the line.
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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.