Writing Equations of Parallel Lines
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- (Video) Equations of Parallel and Perpendicular Lines by ProfRobBob In this video, ProfRobBob goes over some problems you might see involving parallel and perpendicular lines. S…
By Alex Federspiel, Zora Gilbert, Amy Feraco
- Parallel Line Graphs To find the equation of a line parallel to a different line you already know the equation for, follow the following steps: Use the equation of the line you …
By Alex Federspiel, Zora Gilbert, Amy Feraco
- (Videos) Writing Equations of Lines by mathman1024 Here's a video by mathman1024 showing you how to find an equation of a line given a parallel line and a point. Summary\large{\…
By Alex Federspiel, Amy Feraco
- Parallel Lines and Equations Let's first start with the equation y=12x+2y=\frac{1}{2}x+2y=21x+2. We want to make different parallel lines. When we do that, we see the slope sta…
By Amy Feraco
Problems 30
- Which of the following properties are true about any two distinct parallel lines?
- A line has the equation y=35x+16y=\frac{3}{5}x+16y=53x+16. It is parallel to the line y=αx+βy=\alpha x+\betay=αx+β. Determine α\alphaα.
- Write an equation for a line parallel to f(x)=−5x−3f(x)=-5x-3f(x)=−5x−3 and passing through the point (2,−12)(2,-12)(2,−12)
- Write an equation for a line parallel to f(x)=3x−1f(x)=3x-1f(x)=3x−1 and passing through the point (4,9)(4,9)(4,9)
- Is the line with the equation y=5x+6y=5x+6y=5x+6 parallel to the line passing through (2,3)(2,3)(2,3) and (5,7)(5,7)(5,7)?
- Consider the equation of the line y=−85x+2y=-\frac{8}{5}x+2y=−58x+2. The line through which of the following pairs of points is parallel to this line?
- Which of the following lines is parallel to the line containing the points (2,6)(2,6)(2,6) and (8,1)(8,1)(8,1)?
- What equation represents a parallel line to a line with the following properties? The line has a yyy-intercept of 222. The line passes through the point (3,4)(3,4)(3,4).
- Using the information from the picture above, find the equation for the line representing the right side of the road.
- Find the equation of the line that passes through the point (−2,3)(-2,3)(−2,3) and (3,4)(3,4)(3,4)
- A line has the equation y=(75−15)x+2y=\left(\frac{7}{5}-\frac{1}{5}\right)x+2y=(57−51)x+2 and is parallel to the line y=ax+1y=ax+1y=ax+1. Determine aaa
- Find the slope of the line parallel to the line 5x−6y=125x-6y=125x−6y=12
- Find the equation of a line parallel to y=23x+4y=\frac{2}{3}x+4y=32x+4, and passing through the point (3,9)(3,9)(3,9).
- Determine the equation of a line parallel to the line passing through the points (1,4)(1,4)(1,4) and (8,17)(8,17)(8,17).
- Find the slope of any line parallel to 42x+21y=10542x+21y = 10542x+21y=105.
- Find the equation of the line parallel to 3x+2y=93x+2y=93x+2y=9 that passes through the point (3,12)(3,12)(3,12).
- Find the equation of the line that passes through (1,0)(1 ,0)(1,0) and is parallel to the line passing through (2,3)(2,3)(2,3) and (7,14)(7,14)(7,14).
- Find the equation of a line that is parallel to y−4=29(x−2)y-4 = \frac{2}{9}(x-2)y−4=92(x−2).
- Which of the following lines is parallel to y=13x−3y = \frac{1}{3}x-3y=31x−3? Select all that apply.
- Find the value of α\alphaα that makes the following lines parallel. y=13x−6y = \frac{1}{3}x-6y=31x−6 y=6αx+7y = \frac{6}{\alpha}x+7y=α6x+7
- Find the slope of a line that is parallel to 4x+2y=124x+2y=124x+2y=12.
- Find the yyy-intercept of the line that passes through the point (2,7)(2,7)(2,7) and is parallel to 6y−9x=156y-9x=156y−9x=15.
- Find the equation of a line that is parallel to y=−3x+92y = -3x+92y=−3x+92 and passes through the point (0,5)(0,5)(0,5).
- Suppose you are building a new bridge, which crosses the point (2,5)(2, 5)(2,5). There is another bridge next to this new bridge, which can be expressed as y=3x+2y=3x+2y=3x+2. B…
- There is a main street with an equation y=−x+7y=-x+7y=−x+7. You are trying to construct a street that runs parallel to the main street that crosses the point (−2,8)(-2,8)(−2,8).…
- Find the equation of the line that passes through the point (1,3)(1,3)(1,3) and is parallel to the line 3x−7y=83x-7y=83x−7y=8.
- You rolled a ball down a hill along the line 4x+y=24x+y=24x+y=2. Your friend Sarah rolled another ball down the hill, and Sarah wants her ball to hit the cone at (6,3)(6,3)(6,3)…
- Find the equation of the line that passes through (2,4)(2,4)(2,4) and is parallel to the line x−4y=−2x-4y=-2x−4y=−2.
- Find the equation of a line that is parallel to y=−x+18y=-x+18y=−x+18 and passes through the point (3,7)(3,7)(3,7).
- Find the equation of a line passing through the point (−6,5)(-6,5)(−6,5) and that is parallel to the line 3x−5y=93x-5y=93x−5y=9.