Given that the coordinates of the points and are and respectively, and the straight line is parallel to the line represented by the equation , determine the value of .
For straight line graphs,
where is the slope and is the -intercept.
Rearrange into the form .
So, the slope of this line is 3, and because is parallel to this line, the slope of is also 3.
The slope, , of a line passing through 2 points and is given by
We can substitute the value of the slope and the coordinates of and into this formula, then simplify, rearrange and solve for .