find the pair of parallel lines
1)-12y+15x=4
2)4y=-5x-4
3)15x=12y=-4
1. slope = 15/12
2. slope = -5/4
3. slope = ? (two equal signs, so the sign of the slop could go either way.
Please clarify.
To determine if two lines are parallel, we need to compare their slopes. Two lines are parallel if and only if their slopes are equal.
Let's find the slopes for each of the given equations:
1) -12y + 15x = 4
First, rearrange the equation to solve for y:
-12y = -15x + 4
Divide both sides by -12:
y = (15/12)x - 4/12
Simplify the equation:
y = (5/4)x - 1/3
The slope of this line is (5/4).
2) 4y = -5x - 4
Rearrange the equation to solve for y:
y = (-5/4)x - 1
The slope of this line is (-5/4).
Comparing the slopes of the two equations, we can see that they are NOT equal. Therefore, the pair of equations (1) and (2) do not represent parallel lines.
Regarding your third equation (3): It appears there is a typographical error; you have used two equal signs. Please provide the corrected equation so that I can analyze it for you.