How do you write an equation of a line through (-5,3) parallel to #y=2/3x+3#?
Parallel lines have the same slopes. So your new line has slope
Apply point-slope formula,
We're going to use two things here, point-slope form and slope-intercept form. Slope intercept is
Just to organize this better:
Now we plug this information into point-slope
This is a good answer but I'm just going to bring it to y intercept because that's what I'm used to personally.