Answer:
Step-by-step explanation:
The equation of the given line is expressed as
5x + 8y = - 7
We would rearrange the given equation so that it will take the slope intercept form which is expressed as
y = mx + c
Where
m represents the slope
c represents the y intercept.
Rearranging the equation, it becomes
8y = - 5x - 7
Dividing both sides of the equation by 8, it becomes
y = - 5x/8 - 7/8
The slope of the given line is - 5/8
If two lines are parallel, it means that they have the same slope. Therefore,
The slope of a line parallel to the given line is - 5/8