Find an equation of the line in the form ax by c where a b

Find an equation of the line in the form ax + by = c, where a, b, and c are integers with no factor common to all three and a greaterthanorequalto 0. The line with y-intercept 6 and perpendicular to x + 8y = 11 The equation of the line in the form ax + by = c, with y-intercept 6 and perpendicular to x + 8y = 11 is (Type an equation.)

Solution

x+8y=11

8y=11-x

y=(11/8)-(x/8)

Slope of this line is -1/8. Therefore slope of perpendicular line is 8

And y intercept is 6

y=m x+b

y=8x +6

8x-1y=-6

8x+(-1y)=-6