What is the equation of the line which passes through the points 2 3 and (

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Question 319019: Find an equation of the line that passes through the point (-1,3) and is parallel to the line passing through the points (-2,-3) and (2,5).
Answer by Fombitz(32382)
What is the equation of the line which passes through the points 2 3 and (
 
What is the equation of the line which passes through the points 2 3 and (
  (Show Source):

You can put this solution on YOUR website!
First find the line.
The formula for the slope of a line is,

Parallel lines have identical slopes.


Use the point (-1,3) to solve for b.


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Parallel Line

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I inadvertently solved for the perpendicular line first and then realized that you were looking for a parallel line.
Here's how to do it if you're looking for a line perpendicular to your original line that goes through (-1,3).
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Perpendicular lines have slopes that are negative reciprocals,



The slope of the second line is

Use the point (-1,3) to solve for b.



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Perpendicular Line

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Solution

The correct option is Ay+2=0,3 x-y-2-33=0Calculate the equations: The given equation of line is 3x+y=1⇒y=-3x+1This is of the form y=mx+cSlope of the line is -3. Let m be the slope of other line which make 60° with the given line.We know tanθ=m 2-m11+m1m2tan60°=-3-m 1-3m3=-3-m1-3m 3-3m=-3-mor3-3m=3+m⇒m=3or m=0The line passes through 3,-2. (adsbygoogle = window.adsbygoogle || []).push({}); Required equation is y-y1=mx-x1 ⇒y+2=3x-3&y+2=0⇒3x-y-2-3 3=0&y+2=0Hence y+2=0,3x-y-2-33=0 are the required equations and therefore option A is the answer.

Solve

Textbooks

Question Papers

What is an equation of the line that passes through the point (

Summary : The equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6 is 2x + 3y - 5 = 0.

What is the equation of the line that passes through the points − 2 3 and 2 7?

What is the equation of the line that passes through the points (-2, 3) and (2, 7)? Summary: The equation of the line that passes through the points (-2, 3) and (2, 7) is x - y + 5 = 0.

What is an equation of the line that passes through the point (

y - 3 = m(x+2 ) Or y = m(x+2) + 3 is the line that passes through (-2, 3) and there are infinitely many such lines.

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