Pre-Algebra math problems?

Without graphing tell whether the lines y=2/3x+1 and y=-3/2x+1 are parallel,perpendicular, or neither ?

Then identify the slope and y-intercept of the line with the given equation?

Y=-5x

Y=2x+1

4x-2y=8

For the line with the given equation find the slope of the parallel line and the slope of the

perpendicular line?

Y=6x-3

Y=3/4x+4

Any help ?? And please explain!

Comments

  • m1=2/3 and m2= -3/2

    m1 x m2 = -1. Hence the the two st. lines are perpendicular.

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    y = mx +c.

    Here y = 5x + 0.

    slope = m = 5.

    y intercept =0.

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    y=2x+1

    slope=2 and y intercept = 1.

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    4x - 2y = 8.

    2y = 4x - 8.

    y = 2x - 4.

    Therefore slope = 2 and y intercept = - 4.

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    y=6x - 3.

    slope of the line = 6. Hence, any st. line parallel to this line will be having slope = 6.

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    y=3/4 x+4.

    slope of this st. line =3/4.

    Hence slope of any st. line parallel to this line will be having a slope =3/4.

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  • Without graphing tell whether the lines y=2/3x+1 and y=-3/2x+1 are parallel,perpendicular, or neither ?

    perpendicular since product of y'=-1

    Then identify the slope and y-intercept of the line with the given equation?

    Y=-5x

    slope=-5

    y-int= (0,0)

    Y=2x+1

    slope=2

    y-int y=0+1=1

    (0,1)

    4x-2y=8

    2x-y=8

    y=2x-8

    slope=2

    y-int=(0,-8)

    For the line with the given equation find the slope of the parallel line and the slope of the

    perpendicular line?

    Y=6x-3

    slope of parallel = m=6

    slope of perpendicular =-1/m=-1/6

    Y=3/4x+4

    sloppe of parallel m=3/4

    slope of perp = (3/4)m=-1 , m=-4/3

  • ok. nicely in accordance to the orders of operation- you ought to do exponents first. So 3 to the 2d power is 9 and three to the third power is 27. you've now 9+2 x 27. next, you ought to do multiplication. So 2 x 27 is fifty 4. you're literally left with 9+fifty 4 that is sixty 3!

  • Well the first one is perpendicular

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