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2 years ago

7. Write an equation for the line that is parallel to the given line and that passes through the given point.

Mathematics

1 answer:

Vlad1618 [11]2 years ago

8 0

Answer:

C. y = 1/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line parallel to y = 1 /2 x − 8 .

y = 1 /2 x − 14 PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = 1 /2 x − 8 .

y = − 2 x − 29 PERPENDICULAR

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3 years ago

Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identi

KiRa [710]

Answer:

r(t) and s(t) are parallel.

Step-by-step explanation:

Given that :

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r(t)=⟨1−t,3+2t,−3t⟩

s(t)=⟨2t,−3−4t,3+6t⟩

The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

NOTE:

Two lines will be parallel if $\dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}$

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Hence, we can conclude that r(t) and s(t) are parallel.

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