Parallel to 6x+5y= -5 and passes through the point (5,-4)

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

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have the following equation:

Thus, the slope is:

By definition, if two lines are parallel then their slopes are equal.

Thus, a line parallel to the given line will have a slope: Therefore, the equation will be of the form:

We substitute the given point and find "b":

Finally, the equation is: