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How do you write an equation that is perpendicular to a given line and passes through the given point?
Wiki User
∙ 13y ago
you make an equation of the line:
standard form: (y-y1)= m(x-x1)
so if the point is (2, -2) and you want to make it perpendicular to the line with a slope (m) of 1/2, the perpendicular slope is the negative recipricle which is -2
so the equation would be: (y--2)= -2(x-2)
(y+2)= -2(x-2)
y+2= -2x +4
-2 -2
Slope Intercept Form: y= -2x +2
Wiki User
∙ 13y ago
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What is the equation of a line that is perpendicular to and passes through the point (8 3)?
That depends on the equation that it is perpendicular too which has not been given but both equations will meet each other at right angles.
What is the equation of a line that is perpendicular to and passes through the point (4 6)?
That would depend on its slope which has not been given.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertices of two?
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Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
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You solve this type of problem using the following steps. 1) Write your original equation in slope-intercept form, that is, solved for "y". (The line is already in that form in this case). You can read off the slope directly: in an equation of the form: y = mx + b m is the slope. 2) Calculate the slope of the perpendicular line. Since the product of the slopes of perpendicular lines is -1, you can divide -1 by the slope you got in part (1). 3) Use the generic equation y - y1 = m(x - x1), for a line that has a given slope "m" and passes through point (x1, y1). Replace the given coordinates (variables x1 and y1). Simplify the resulting equation, if required.
What is the equation of a line that is perpendicular to and passes through the point (8 3)?
That depends on the equation that it is perpendicular too which has not been given but both equations will meet each other at right angles.
Could you write the equation of the line that is perpendicular to the line given that passes through the point shown?
Yes, I could, if I knew the slope of the line given.
What is the equation of a line that is perpendicular to and passes through the point (4 6)?
That would depend on its slope which has not been given.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertices of two?
Equilateral triangles
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertex of two?
equilateral triangles
What is the shortest segment from any given point to a line is the what segment?
A perpendicular to the line which passes through the given point.
How do I write the equation of the line that passes through the given point and is perpendicular to the given line Write the answer in slope-intercept form?
The standard equation for a straight line is y = mx + c. Let this be the equation of the original line. Note that m and c are known values. Let the given point coordinates be (a,b)Two straight lines are perpendicular if the product of their gradients (slopes) is -1.The slope (m1) of the perpendicular line is therefore m1 = -1/mWhen y = b then x = a so the equation for the perpendicular line is y = m1x + d, and substituting gives : b = -a/m + d and this will enable d to be calculated.NOTE : In the absence of information for the equation of the original line and the coordinates of the given point then this is a general rather than a specific answer.
What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
What is a characteristic of a perpendicular bisector?
Given a straight line joining the points A and B, the perpendicular bisector is a straight line that passes through the mid-point of AB and is perpendicular to AB.
Is used to write the equation of the line with the given slope that passes through a given pointp?
Coordinate geometry
Write in slope intercept form the equation of the line that is parallel to the given line and passes through the given point?
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
What is an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line?
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
