Question

Which of the following is an equation that is parallel to the line y=3x+2, passing through the points (10,1)
A.3x+y=29
B.3x-7=29
C. -3x-y=29
D.3x+y=29

Answer 1

A line that is parallel will always have the same gradient as the other line, so your new line will start off like y=3x+c with m=3(same gradient)
Then substitute the point given (10;1) to find C, as the graph passes through this point,
So, 1=3(10) +c
thus C=-29
so the equation is y=3x-29
just rearrange to get 3x-y =29

hope that helps :)