Question

Find the slope of a line parallel to y=-2/5x + 4/5​

Answer 1

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

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 $y = - \frac {2} {5} x + \frac {4} {5}$, with slope $m_ {1} = - \frac {2} {5}$. A parallel line will have slope $m_ {2} = - \frac {2} {5}$and its equation will be of the form:

$y = - \frac {2} {5} + b$

Answer:

A line parallel to the given line will have slope $m = - \frac {2} {5}$