Algebra 1

Tell whether the lines for the pair of equations are parallel, perpendicular, or neither.
Y=-4/5x+3
4x-5y=-15 (1 point)
Parallel
Perpendicular***
Neither

Write an equation of a line that is perpendicular to the given line and that passes through the given point.
y-2=-1/4(x+3); (-3,5) (1 point)
y=-3x-5***
y=1/4x-6
y=4x+17
y=4x+5

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  1. slope of first line = -4/5

    for the 2nd:
    -5y = -4x - 15
    y = (-4/-5)x - 15/-5
    y = (4/5)x + 3 ---> slope is +4/5

    so they are neither parallel nor perpendicular.
    (to be perpendicular, they must be opposite in sign, and flips of each other, not true in your case)

    2nd question:
    since the slope of the given line is -1/4, the slope of the new line must be +4
    so your choices are the last two.
    simply try (-3,5) in each
    in y = 4x+17
    5 = 4(-3) + 17 = 5 , true
    in y = 4x + 5 , has to be false

    y = 4x + 17

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  2. OH ok thx!

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