how to find the slope of the normal line?
480751
By definition, the slope of the normal line is the opposite reciprocal of the slope of the tangent line. The slope of the tangent line is the derivative of the curve (function) at that point. For example, find the equation of the normal line for the function f(x) = -3x^2 + 2x + 6 at the point x = 1.
166781
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.
288312
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 8x + 6y = 15 is m = –4/3. Therefore, the slope of the line perpendicular to this line would have to be m = 3/4.
51120
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.
321287
['y = mx + b.', 'Graph the equation: y = 2x + 4.', 'Slope = 2 or 2/1.', 'Y-intercept = 4 or (0,4)', 'Step 1: Plot the y-intercept on your graph. ... ', 'Step 2: From the y-intercept (0,4) use the slope to plot your next point.', 'The slope is 2, so you will rise 2 (up) and run 1 (to the right).']
492560
['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.']
792179
['Find the slope of each line.', 'Find the angle of inclination of each line, using θ=tan−1m. (Here, θ is the angle of inclination, m is the slope.)', 'Subtract the two angles.', 'Handle the case where this difference is not an acute angle. (If you get a negative angle, take its absolute value.']
596792
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.
139840
['Step One: Identify two points on the line. In this example we are given two points, (15, 8) and (10, 7), on a straight line.', "Step Two: Select one to be (x1, y1) and the other to be (x2, y2). It doesn't matter which we choose, so let's take (15, 8) to be (x2, y2). ... ", 'Step Three: Use the equation to calculate slope.']
67392
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 4x – 5y = –10 is m = 4/5. Therefore, the slope of the line perpendicular to this line would have to be m = –5/4. Step 2: Use the slope to find the y-intercept.
61862
The normal line is defined as the line that is perpendicular to the tangent line at the point of tangency. Because the slopes of perpendicular lines (neither of which is vertical) are negative reciprocals of one another, the slope of the normal line to the graph of f(x) is −1/ f′(x).
1129815
To find the slope, find the difference between the two y values and divide it by the difference between the two x values. The midpoint is obtained by taking the average of the two x values and the average of the two y values.
310224
['Start with the formula to calculate slope. Slope (m)=(y2 - y1)(x2 - x1)', 'Substitute point values in the equation. m=(5 - 3)(2 - 1)', 'Simplify each side of the equation. m=(5 - 3)(2 - 1)=21.']
1289765
['(x1, y1) = (-2,-1)', '(x2, y2) = (4,3)', 'slope = ((y2-y1)/(x2-x1))']
1294121
['Since the value of m is unknown, the first step is to calculate the slope of the line. ... ', 'Choose (x1, y1) = (–2, –5) and (x2, y2) = (6, 1).', 'By substituting the value obtained in the slope-intercept form, you get the equation:', 'STEP 4: The value of b is still unknown. ... ', 'STEP 5: Now, solve the equation for b.']
11557
To find the slope of a line given the equation of the line, first write it in slope-intercept form. Use inverse operations to solve for y so that it is written as y=mx+b. Then you can easily see the slope since it is the coefficient of the x variable, or the number in front of x.
1236133
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.