Answer: 5 1/4
Step-by-step explanation:
Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
y = -3/8(x) + 3/2, slope = -3/8
slope of a line that is parallel = -3/8
2)5x+4y = 5
4y = -5x + 5
y = -5/4(x) + 5/4; slope is -5/4
slope of a line that is parallel = -5/4
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perpendicular, slope is opposite and reciprocal
3)
3x+8y = 11
8y = -3x + 11
y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3
4)
x = -7, slope is undefined
so slope of perpendicular line is 0
5)
3x+2y = 12
2y = -3x + 12
y = -3/2(x) + 6 ; slope = -3/2
5x - 6y = 8
6y = 4x - 8
y = 2/3(x) - 4/3; slope is 2/3
slope is opposite and reciprocal, so the equals are perpendicular
6)
3x + y = 5
y = -3x + 5; slope = -3
6x + 2y = -15
2y = -6x - 15
y = -3x - 7.5; slope = -3
both have slope = -3 so equations are parallel
Answer:
Y=-3/2
Step-by-step explanation:
-2y+3=-4y
Move constant to the right by adding its opposite to both sides
-2y+3-3=-4y-3
Eliminate the opposites
-2y=-4y-3
collect the like terms
-2y+4y
collect the like terms
(-2+4)y
Calculate the sum
2y=-3
divide both sides of the equation by 2
2y÷2=-3÷2
Any expression divided by itself equal 1
y=-3÷2
y=-3/2
