Find an equation of the line

Question

find an equation of the line. Write the equation in standard form. Through (6,7); parallel to 9x-y=1

Answer 1

9x-y=1

y=9x-1

slope = 9

 

For the line 2 which is parallel to 9x-y=1

parallel lines have same slope and it passes through the point (6,7) which is X2 and Y2.

Now plug in : y-y2 = m(x-x2)

y-7 = 9(x-6)

y-7 = 9x - 54

y= 9x -54+7

y= 9x -47