2007-08-04 14:28:39 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
2x + 5y = 2
5y = -2x + 2
y = (-2/5)x + (2/5)
slope is -2/5
y = 2x + 4
slope is 2/1
If parallel, both slopes would be the same. If perpendicular, one fraction would be the reciprocal (upside down) of the other and the signs would be opposite. These are neither.
2007-08-04 14:35:59 · answer #1 · answered by JM 4 · 0⤊ 0⤋
To determine whether two lines are parallel, perpendicular or neither, you will have to first, find the slope of each equation in slope intercept form (y=mx +b; m is slope)
Equation A: (it is not in slope intercept form, get the Y by itself)
2x + 5y = 2
5y = -2x + 2 (minus 2x on both sides)
y = -2/5x + 2/5 (divide 5 on both sides)
Equation B: (it is in slope intercept form)
y = 2x + 4
Parallel: Two lines must have the same slope
Perpendicular: Slope must be in opposite sign and reciprocal to each other (for instance, 2/1 and -1/2)
Slope of equation A is -2/5
Slope of equation B is 2
1) They are not the same
2) They are opposite sign (one is negative, one is positive) but are not the reciprocal of each other.
Therefore, the answer is NEITHER.
2007-08-04 14:55:53 · answer #2 · answered by PT 1 · 0⤊ 0⤋
2x+5y=2 ; y = (2-2x) /5; slope = -2/5
y=2x+4; slope = 2
not parallel because the slopes would be equal.
not perpendicular because one slope would be -1/x of the other one. if one slope is 2, the perpendicular slope is -1/2
neither
2007-08-04 15:51:40 · answer #3 · answered by Steve A 7 · 0⤊ 0⤋
They are neither. the equations are y=-2/5x+2/5 and y=2x+4
so they intersect but are neither perpendicular OR parallel
2007-08-04 14:39:57 · answer #4 · answered by EmCat93 2 · 0⤊ 1⤋