line K passes through the point (8,-3) and is parallel to the line y=3x -4. write an equation for line k.
1 answer:
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Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
=
= -
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
=
=
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.
Graph y = x (black)
(0; 0); (2; 2)
Symmetry <span>about the x-<span>axis (green)
Translation down 1 unit (red)
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(0; 0); (2; 2)
Symmetry <span>about the x-<span>axis (green)
Translation down 1 unit (red)
</span></span>