Find an equation for the line perpendicular to the line −6x−6y=−7 having the same y-intercept as 6x+7y=4.

Answer 1

-6x -6y = -7

6y = -6x+7

y =-x +7/6 slope = -1

a perpendicular line will have the negative inverse as the slope or +1 -1=-1/1. flip the fraction upside down and change the sign to get the negative inverse = 1/1 = 1

6x+7y = 4

7y =-6x +4

y =-6x/7 + 4/7 has y intercept = 4/7

y=x + 4/7 is the line perpendicular to the 1st equation with a y-intercept = the y intercept of the 2nd equation

solve an equation for y, and the slope = the coefficient of the x term, and has a y-intercept = to the constant term.