Slopes of Parallel Lines
Read this topicExplanations 3
- (Video) Parallel and Perpendicular Lines by Mahalo Math Mahalo Math has a good video explaining parallel lines. Summary\large{\text{Summary}}Summary To tell if two lines are par…
By Ben Ferrara, Alex Federspiel, Victor Wang, Amy Feraco
- Parallel Lines Parallel lines are lines that do not meet, ever. It's important that we include "ever" in the definition because when we look at some graphs, our lines don't cros…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Victor Wang
- Parallel and Perpendicular Lines When two lines are graphed together, the lines will be parallel if they are increasing at the same rate—if the rates of change are the same. In …
By Precalculus: An Investigation of Functions
Problems 46
- Suppose that a line is parallel to the line 2x+4y=32x + 4y = 32x+4y=3. What is its slope?
- Which of the following properties are true about any two distinct parallel lines?
- One line is defined by the points (3,2)(3, 2)(3,2) and (6,−8)(6, -8)(6,−8). Another line is defined by (−1,−3)(-1, -3)(−1,−3) and (3,3)(3, 3)(3,3). Are the lines parallel?
- One line is defined by the points (3,1)(3,1)(3,1) and (5,−2)(5,-2)(5,−2). Another line is defined by (−6,8)(-6,8)(−6,8) and (−2,2)(-2,2)(−2,2). Are the lines parallel?
- A line is contains the points (−6,−9)(-6,-9)(−6,−9) and (10,5)(10,5)(10,5). The second line is parallel to the first and has the points (0,−2)(0,-2)(0,−2) and (3,α)(3,\alpha)(3,…
- 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.
- Find the slopes and determine if the pair of lines is parallel, perpendicular, or neither. Line 1: Passes through (0,6)(0,6)(0,6) and (3,−24)(3,-24)(3,−24) Line 2: Passes throug…
- Find the slopes and determine if the pair of lines is parallel, perpendicular, or neither. Line 1: Passes through (−8,−55)(-8,-55)(−8,−55) and (10,89)(10,89)(10,89) Line 2: Pass…
- Find the slopes and determine if the pair of lines is parallel, perpendicular, or neither. Line 1: Passes through (2,3)(2,3)(2,3) and (4,−1)(4,-1)(4,−1) Line 2: Passes through (…
- Find the slopes of the two lines and determine if the pair is parallel, perpendicular, or neither. Line 1: Passes through (1,7)(1,7)(1,7) and (5,5)(5,5)(5,5) Line 2: Passes thro…
- Find the slopes of the two lines, and determine if the pair is parallel, perpendicular, or neither. Line 1: Passes through (0,5)(0,5)(0,5) and (3,3)(3,3)(3,3) Line 2: Passes thr…
- Find the slopes and determine if the pair of lines below is parallel, perpendicular, or neither. Line 1: Passes through (2,5)(2,5)(2,5) and (5,−1)(5,-1)(5,−1) Line 2: Passes thr…
- 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 graph above, are the lines parallel?
- 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?
- In order for two lines to be parallel, which of the following must be true?
- The blue line has the equation of y=−1.9x+1y=-1.9x+1y=−1.9x+1, while the points (3,1)(3,1)(3,1) and (1,5)(1,5)(1,5) lie on the red line. Are the two lines parallel?
- What is the slope of a line with points (−10,7)(-10,7)(−10,7) and (6,3)(6,3)(6,3)?
- 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)?
- The purple line above has the equation of y=3x−1y=3x-1y=3x−1, while the point (0,3)(0,3)(0,3) lies on the orange line. Are the lines parallel?
- As a city planner, Jen is asked to place a new road that crosses the city grid at (4,4)(4,4)(4,4). There is another road already built, which can be expressed by y=3x−1y=3x-1y=3…
- 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).
- Consider the line with the equation y=57x+2y=\frac{5}{7}x+2y=75x+2. What other two points could be plotted together with (12,9)(12,9)(12,9) to form another line parallel to the…
- In order for the slope formula for a line to be defined, which of the following conditions must be met?
- If the slope of a line is positive, which of the following is true?
- Consider the standard layout of a tennis court. The letters represent the lines they are next to. Match the corresponding lines with their correct slopes.
- Are the following lines parallel?
- Which two points below, when connected by a line, are parallel to the equation above?
- Suppose you have a line with the equation y=8x+3y=8x+3y=8x+3. How many lines are there parallel to this line?
- Which of the following properties of an equation of a line determines whether two lines are parallel?
- Which mathematical symbols are examples of parallel lines?
- Which of the following geometric shapes must contain parallel lines?
- Which of the following are properties of parallel lines?
- Which of the following are examples of parallel lines?
- Which of the following are not examples of parallel lines?
- Select the two parallel lines below.
- Select all the parallel lines below.
- Select all the parallel lines below.
- Select all the parallel lines below.
- Select all the parallel lines below.
- Select the two parallel lines below.
- Find the slope of any line that is parallel to the line 2y−10x=62y-10x=62y−10x=6.
- Find the slope of any line that is parallel to the line 6y+3x=126y+3x=126y+3x=12.
- Find the slopes and determine if the pair of lines are parallel, not parallel, or not enough information. Line 1: Passes through (1,3) and (2,6)\text{ Line } 1: \text{ Passes th…
- Find the slope of any line that is parallel to the line 4y−9x=14y-9x=14y−9x=1.
- Choose the equation of a line that is parallel to the line y=−7y=-7y=−7.