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3 years ago

Find the line parallel to the line y=3x+5 which passes through the point (1,4). a. y=-1/3x+1 b. y=-3x+1 c. y=1/3x+1 d. y=3x+1

Mathematics

1 answer:

Vladimir [108]3 years ago

5 0

Answer:

Step-by-step explanation:

So we want to find the equation of the line parallel to y=3x+5 and goes through the point (1,4).

First, since the new line is parallel, its slope must be equivalent. Therefore, the slope of our new line <em>must</em> also be 3.

Now, we can figure out the rest of the equation using the point-slope form:

$y-y_1=m(x-x_1)$

Substitute 3 for m. Let's let (1,4) be x₁ and y₁. Thus:

$y-4=3(x-1)$

Distribute the right:

$y-4=3x-3$

Add 4 to both sides:

$y=3x+1$

And we're done!

The correct answer is D.

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Answer:

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Answer:

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