Which 2 lines are parallel?
1.5y=2x-5
2.5y=-4+3x
3.5y-3x=-1
The two lines that are parallel are:
1. 5y = 2x - 5
and
2. 5y = -4 + 3x
To determine which lines are parallel, we need to compare their slopes. The slope-intercept form of a line is y = mx + b, where m is the slope.
1. In the equation 1.5y = 2x - 5, we can rewrite it in slope-intercept form as y = (2/1.5)x - (5/1.5). The slope here is 2/1.5.
2. The equation 2.5y = -4 + 3x can be rearranged as y = (3/2.5)x + (-4/2.5). The slope here is 3/2.5.
3. Lastly, the equation 5y - 3x = -1 can be rewritten as y = (3/5)x - (1/5). The slope here is 3/5.
Comparing the slopes, we find that the lines with the same slope are parallel.
Therefore, the lines with parallel slopes are:
1. y = (2/1.5)x - (5/1.5)
2. y = (3/2.5)x + (-4/2.5)