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masya89 [10]
4 years ago
8

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]4 years ago
5 0

Answer:

D

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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