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}`