Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? select three options. y = –two-fifthsx – 2 2x + 5y = −10 2x − 5y = −10 y + 4 = –two-fifths(x – 5) y – 4 = five-halves(x + 5)

For this case we have that by definition, the equation of a 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

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

The given line is:

So we have:

We find

So, a line perpendicular to the one given is of the form:

We substitute the given point to find "b":

Finally we have:

In point-slope form we have:

the correct answer is 828.07