Which of the following two lines are parallel (pick 2)(1 point)
1 2y - 6x = 4
2 3x + y = -2
3 2y = -6x - 8
The parallel lines are:
1) 2y - 6x = 4
3) 2y = -6x - 8
To determine which lines are parallel, we need to compare the slopes of each line. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope.
Let's rearrange the given equations into slope-intercept form:
1) 2y - 6x = 4
Rewrite as: 2y = 6x + 4
Divide by 2: y = 3x + 2
Equation 1 is in slope-intercept form, and the slope is 3.
2) 3x + y = -2
Rewrite as: y = -3x - 2
Equation 2 is in slope-intercept form, and the slope is -3.
3) 2y = -6x - 8
Divide by 2: y = -3x - 4
Equation 3 is in slope-intercept form, and the slope is -3.
Comparing the slopes, we can see that equation 1 and equation 2 both have a slope of 3. Therefore, lines 1 and 2 are parallel.
To determine which of the given lines are parallel, we need to compare the slopes of the lines. Remember that two lines are parallel if and only if their slopes are equal.
First, let's rearrange the equations into the slope-intercept form (y = mx + b) where "m" represents the slope of the line.
1) 2y - 6x = 4
Rearrange the equation to isolate y:
2y = 6x + 4
Divide by 2 to get y alone:
y = 3x + 2
2) 3x + y = -2
Subtract 3x from both sides to isolate y:
y = -3x - 2
3) 2y = -6x - 8
Divide by 2 to get y alone:
y = -3x - 4
Now we can see that equations 1 and 3 have the same slope of -3. Therefore, lines 1 and 3 are parallel.