Answer:
The equation of line parallel to given line passing through (8,-7) is:

Step-by-step explanation:
Given line is:
5x+4y=16
first of all, we have to convert the equation of given line in slope-intercept form

Dividing both sides by 4

Slope intercept form is:

The slope of given line is:

Let m1 be the slope of line parallel to given line
"The slopes of two parallel lines are equal"

The equation of line parallel to given line will be:

Putting the value of slope

Putting the point (8,-7) in the equation

Putting the value of b

Hence,
The equation of line parallel to given line passing through (8,-7) is:
