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How do you find the equation of a perpendicular line that passes through a given point?
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.
How do you find a perpendicular line with coordinates?
To find a line that’s perpendicular to a line and goes through a particular point, use the point’s coordinates for (x1, y1) in point slope form: y – y1 = m (x – x1). Then, calculate the “negative reciprocal” of the old line’s slope and plug it in for m.
What is the equation of a line that is perpendicular to the line whose equation is 2y 3x 1?
So the slope of the perpendicular line is the reciprocal of 3/2 which is multiplied by -1. Therefore, the slope of a line that is perpendicular to the line whose equation is 2y = 3x – 1 is -2/3.
What is the equation of parallel lines?
If the equation of the line is ax + by + c = 0 and coordinates are (x1, y1), the slope should be -a/b. If two lines are parallel to each other, the slopes of both line are equal. Consider m1 and m2 be the slopes of the two lines.
Can lines be perpendicular and not meet?
Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.
What is an equation of the line that passes through the point (- 2 5 and is perpendicular?
y=mx+b , where m= slope and b= y-intercept. To find the perpendicular slope, we take the negative inverse, which gives us m=−5 .
Which linear equation represents a line that has a slope of 2 3?
1 Expert Answer If a line has a slope of 2/3, then the slope intercept form equation of that line will be: y = 2/3 x + b where b is the y-intercept.
How do you find the equation of a perpendicular line?
First, put the equation of the line given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2.
What does it mean when a line runs perpendicular to another line?
If a line runs perpendicular to another line, it means that it crosses it at a right angle. The equation for a line on a graph is
What is the product of slopes of a perpendicular line?
If one line is perpendicular to this line, the product of slopes should be -1. Let m 1 and m 2 be the slopes of two lines, and if they are perpendicular to each other, then their product will be -1. Question: Check whether 2x + 3y + 5 = 0 and 3x – 2y + 1 = 0 are perpendicular or not.
Which is the equation for the slope of a line?
Consider the equation of the line is ax + by + c = 0 and coordinates are ( x1, y1 ), the slope should be − ab − ab. If one line is perpendicular to this line, the product of slope should be -1.