Question

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

Answer 1

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 must 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.