Write the equation of the line that it is perpendicular to 5x+8y=16 and passes through (-5,7).

Answer 1

slope =-5/8 = coefficient of x term when a linear equation is solved for y

all parallel lines have the same slope

y-7 = (-5/8)(x+5) in point slope form

8y -56 = -5x -25

5x +8y = 31 in standard form