Equation 5x-6y=5

Question

Find an equation for the line perpendicular to the line 5x-6y=5 having the same y intercept as -6x-4y = -6

Answer 1

the line perpendicular to the line 5x-6y=5 having the same y intercept as -6x-4y = -6

 

Perpendicular lines have opposite and inverse slopes.

 

5x-6y=5  -6y = -5x +5

 

y = 5/6(x) - 5/6

 

New line will have a slope of -6/5

 

y = -6/5x + b

 

b = y intercept

 

-6x-4y = -6   

 

-4y = 6x - 6

 

y = -3/2(x) + 3/2

 

3/2 is this equation's y intercept.

 

y = -6/5x + b

 

y = -6/5x + 3/2