Question

Can you help me put these into slope intercept form so I can graph them and if u can find the slope that would be great sry for bad English

1) 20x + 80y=0

2) 30x + 50y-100=0

3) 3x - 15y - 30 =0

Answer 1

Part 1)
`y=-(1/4)x`

Part 2)
`y=-(3/5)x+2`

Part 3)
`y=(1/5)x-2`

Explanation:

we know that

The equation of the line into slope intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-coordinate of the y-intercept

Part 1) we have

`20x+80y=0`

Simplify

Divide by 20 both sides

`x+4y=0`

isolate the variable y

Subtract x both sides

`4y=-x`

Divide by 4 both sides

`y=-(1/4)x` ------> equation of the line into slope intercept form

`m=-(1/4)`

`b=0`

Part 2) we have

`30x+50y-100=0`

Simplify

Divide by 10 both sides

`3x+5y-10=0`

isolate the variable y

Subtract (3x-10) both sides

`5y=-(3x-10)`

Divide by 5 both sides

`y=-(3/5)x+2` ------> equation of the line into slope intercept form

`m=-(3/5)`

`b=2`

Part 3) we have

`3x-15y-30=0`

Simplify

Divide by 3 both sides

`x-5y-10=0`

isolate the variable y

Subtract (x-10) both sides

`-5y=-(x-10)`

Divide by -5 both sides

`y=(1/5)x-2` ------> equation of the line into slope intercept form

`m=(1/5)`

`b=-2`