Question

Write the equation of the line that goes through the point
(−3, −5)
and is parallel to the line
−x + 3y = −0.5.

Answer 1

when 2 lines are parallel the have the same slope
so -x+3y=-0.5
3y=x-0.5
y=1/3(x)- (0.5)/3
slope =1/3
now we use the given point (-3,-5) with the slope to find such equation...

Answer 2

here the formula y=mx+b
where y=-5 , x=-3 and m=1/3
subs those values to find b...its y intercept
then....

Answer 3

b=-6?

Answer 4

-5=1/3(-3)+b
-5=-1+b
-5+1=b
1-5=b

Answer 5

-4?

Answer 6

yep

Answer 7

so y=mx+b
we now sub our "m" and "b" into the formula

Answer 8

so our parallel equation is??

Answer 9

y=1/3x-4

Answer 10

y=1/3(x)-4
can also be written as
3y=x-12
3y-x=-12
yep