Which two lines are parallel?
1 answer:
Answer:
- 3x + y = -2
- 2y = -6x – 8
Step-by-step explanation:
When the equations are written in the same form, the ratio of x coefficient to y coefficient is the same for parallel lines.
These equations in the same form are ...
- 3x +y = -2
- -6x +2y = 4
- 6x +2y = -8
The first and last of these equations have a ratio of x-coefficient to y-coefficient of ...
(x-coefficient)/(y-coefficient) = 3/1 = 6/2
so the lines are parallel.
The second equation has a ratio that is the opposite of this.
__
<em>Alternate approach</em>
You can put each equation into slope-intercept form (solve for y). The x-coefficient is then the slope of the line. Parallel lines** have equal slopes.
- y = -3x -2 **
- y = 3x +2
- y = -3x -4 **
_____
I find a graphing calculator to be a big help for many problems involving equations and their characteristics.
You might be interested in
For this case we have that by definition, the slope of a line is given by:
Where:
and
are two points through which the line passes.
According to the image we have:
Substituting we have:
Thus, the slope of the line is:
Answer: