Find the equation of this line in slope intercept form.

Question

involving the equation of a line through a given point, parallel to a second line. Assume that the line passes through the point (2,−2) and is parallel to the line through the points ( 2,6) and (−3,−6).

Find the equation of this line in slope intercept form.
y =

Answer 1

The line through the points (2,6) and (-3,-6) has slope                                            (-6-6)/(-3-2) = 12/5

 

Parallel lines have the same slope.  So, we are looking for the line with slope 12/5 and which contains the point (2, -2).  

 

Using the point-slope form, an equation of the line is:

 

  y - (-2) = (12/5)(x - 2)

 

  y + 2 = (12/5)x - (24/5)

 

       y = (12/5)x - (34/5)    or equivalently, y = 2.4x - 6.8