Question

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

Answer 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

Answer 2

OH ok thx!