Question

Write an equation in slope-intercept form of the line satisfying the given conditions.
Parallel to the line x +5y=6.containing the point(0,0)

Answer 1

when 2 lines r parallel .. the slopes r equal
and the standered form of a straight line is
y = mx + b
where
m = slope
b = intercept..
since the line is parallel to
x +5y=6
which is
5y = 6 - x
y = (-1/5) x + 6/5
the slope of the line u want should be the same..

so u can write the equation of the line u want as..
y = (-1/5) x + b
now to find b

u can use the given coordinates for that
( 0 , 0 )
plug them in the equation u've got
y = (-1/5)x + b
0 (-1/5)0 + b
b= 0

therefor the line parallel to x +5y=6 and goes through (0,0) is
y = (-1/5)x

got it :) ?

Answer 2

I am grateful.thanks