how to figure out the slope of a perpendicular line?
38227
Explanation: Find the slope of the given line. The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b.
981077
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.
565241
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. Step 2: Use the slope to find the y-intercept.
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.']
5739
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
109372
['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.']
1069791
Explanation: This appears to be a bit complicated as normally we say that if slope of a line is m , slope of line perpendicular to it is −1m , which means just take the reciprocal and change the sign. For example if slope of a line is 37 , line perpendicular to it will have a slope of −73 .
194591
Perpendicular lines have opposite reciprocal slopes. Both these lines have reciprocal slopes to the slope of 7 in the original equation, but only the first line is the opposite reciprocal. The correct answer is and .
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.
1198950
Correct answer: Explanation: The question puts the line in point-slope form y – y1 = m(x – x1), where m is the slope. Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line.
1255871
Correct answer: The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.
16726
['Step One: Identify two points on the line.', 'Step Two: Select one to be (x1, y1) and the other to be (x2, y2).', 'Step Three: Use the slope equation to calculate slope.']
1235130
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. ... This is why any line that is perpendicular to this line would have slope -2 /1 = -2.
231685
Answer Expert Verified The slope of a perpendicular line to an equation is the negative reciprocal of the number. For example, the negative reciprocal of 2 is -1/2 (so you 'flip' the number).
1142509
If the slopes of two lines are negative reciprocals, the lines are perpendicular. For ease of computation, translate the lines so the point of intersection will be the origin. Draw a vertical line x = 1 to form ΔABC.
592971
Correct answer: The question puts the line in point-slope form y – y1 = m(x – x1), where m is the slope. Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line.
435775
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 ).