Question

please help@
write an equation of a line in slope intercept form that is paralell to x+4y=6 and passes through the point (-8,5)

Answer 1

(1) Slope intercept form is y=mx+b
(2) Parallel lines all have the same slope, so the slope for this parallel line should have the same slope as x+4y=6 , but a different b
(3) If you know what m is in y=mx+b from (2) then you can plug in x,y values to find b
5=m(-8)+b and solve for b.
Then you write the equation as y=mx+b with the m you found in (2) and the b you just found.

Answer 2

slope=-a/b=-1/4
second method
by differrential
1+4dy/dx=0
dy/dx=-1/4