what is standard form?

and how do I sovle through: (-4,3), parallel to y=-5/4x-3

Question

what is standard form?

and how do I sovle through: (-4,3), parallel to y=-5/4x-3

hartnn · Answer

parallel lines have same slope
so what is the slope of the required line ?

anonymous · Answer

so they have the same slope?

anonymous · Answer

then to perpendicular have recpical slope?

hartnn · Answer

negative reciprocal to be precise.
-1/(slope)

anonymous · Answer

okay but how do I solve through: (-4,3), parallel to y=-5/4x-3

anonymous · Answer

in standard form

hartnn · Answer

whats the slope of line  y=-5/4x-3 ? 
u know how to find ?

anonymous · Answer

-5/4

hartnn · Answer

thats correct!
so , since parallel lines have same slope , u got the slope of your line as  -5/4
now, put that in any of the line equation form you know , then convert it into standard form

hartnn · Answer

standard form is ax+by+c=0

anonymous · Answer

so it would be like -4x+3y+-5/4=0

anonymous · Answer

Im lost

hartnn · Answer

which form of line u know ? 
u know y=mx+b ?

anonymous · Answer

yes

anonymous · Answer

but i need to have it in standard form

anonymous · Answer

in it y=-5/4x-2

hartnn · Answer

m=slope = -5/4
now put the point in that to find b.
we'll convert it to standard form after u find b

anonymous · Answer

in b=-2

anonymous · Answer

or -5

hartnn · Answer

yes, thats correct.
y=-5/4x-2
now we need to bring that in form of ax+by+c=0
multiply 4 on both sides to eliminate fraction

anonymous · Answer

no wait i mean it's b=-8

hartnn · Answer

b= -2 was correct. 3= -5/4(-4)+b gives b=-2

anonymous · Answer

oh okay

hartnn · Answer

y=-5/4x-2
now we need to bring that in form of ax+by+c=0
multiply 4 on both sides to eliminate fraction

anonymous · Answer

oh so it would be 4y=-5x-2

hartnn · Answer

-2*4 = -8

anonymous · Answer

oh so do I always have to multipy it to the b

hartnn · Answer

4 was to be multiplied to every term , both sides.

anonymous · Answer

oh okay then what is the next step

hartnn · Answer

u get 4y= -5x-8, right ?
add 5x+8 to both sides to get 0 on right side

anonymous · Answer

yes

anonymous · Answer

then what do I do what do u mean add it

hartnn · Answer

4y+5x+8 = -5x-8+5x+8 = 0
so u get 
5x+4y + 8= 0 <---standard form

anonymous · Answer

but I thought the answer was 5x+4y=-8

hartnn · Answer

yes! thats is standard form .
ax+by =c
so you are correct.

anonymous · Answer

oh okay thank you so much and sorry for the hard time

hartnn · Answer

no problem.
welcome ^_^