Question

Which of the following is the equation of a line parallel to the line y=3x+2, passing through the point (10,1)?

A. 3x - y=29
B. 3x + y=29
C. -3x-y=29
D. 3x + y=29

Answer 1

I think it's A. One way you can identify if they are parallel is if both of the slopes are the same (also both have to have the same signs). 

Answer 2

Option A

Explanation:

We have to find the equation of a line parallel to y = 3x + 2 and passing through (10, 1)

Slope of the given line y = 3x + 2 is 3

So line parallel to this line will have same slope = 3

Now we assume this line is y = 3x + c

It is given that a point ( 10,1 ) lies on this line.

So we put x = 10 and y = 1 in this equation to get

y-intercept

1 = 30 + c

c = - 29

Equation of the line will be y = 3x - 29

or -3x + y = -29 ⇒ 3x - Y = 29

Option A is the answer.