Answer:
D. 5x -3y = 27
Step-by-step explanation:
You want to identify the line that is perpendicular to y = -3/5x +1.
Perpendicular line
The answer choices are in standard form. This suggests it would be useful to write the equation of a perpendicular line in standard form.
One way to get the equation of a perpendicular line is to swap the x- and y-coefficients, and negate one of them. The y-coefficient in the given equation is 1, and the x-coefficient is -3/5. We can make the y-coefficient the opposite of -3/5 and the x-coefficient 1 to get ...
3/5y = x +c . . . . . for some constant c
Multiplying by 5 gives ...
3y = 5x + c . . . . . . for some other constant c
Subtracting 3y+c, we get ...
5x -3y = c . . . . . for some new constant c
So, we're looking for an answer choice in this form. We find it in choice D:
5x -3y = 27
