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

Option A

Step-by-step 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.