# Math Help - Linear Functions

1. ## Linear Functions

Write the equation of a line that contains the point (6,-2) and is parallel to the line 3x+2y=8. I'm a little confused.

2. Originally Posted by ~berserk
Write the equation of a line that contains the point (6,-2) and is parallel to the line 3x+2y=8. I'm a little confused.
two lines are parallel if they have the same slope.

now, by the point-slope form, the equation of a line that passes through $(x_1,y_1)$ with slope $m$ is given by:

$y - y_1 = m(x - x_1)$

solving for $y$ we can get it in the all famous slope-intercept form, namely $y = mx + b$

Now, you have $(x_1,y_1) = (6,-2)$ and slope $m = \text{slope of the given line}$

can you continue?

3. Thanks, I completely forgot that I did another problem earlier where a line was perpendicular instead of parallel it's just taking the neg. reciprocal of the slope for that one.