For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have to, if two lines are parallel then their slopes are equal.
Given the line [tex]y = - \frac {2} {5} x + \frac {4} {5}[/tex], with slope [tex]m_ {1} = - \frac {2} {5}[/tex]. A parallel line will have slope [tex]m_ {2} = - \frac {2} {5}[/tex]and its equation will be of the form:
[tex]y = - \frac {2} {5} + b[/tex]
Answer:
A line parallel to the given line will have slope [tex]m = - \frac {2} {5}[/tex]
