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

Respuesta :

Answer:

Part 1) [tex]y=-(1/4)x[/tex]

Part 2) [tex]y=-(3/5)x+2[/tex]

Part 3) [tex]y=(1/5)x-2[/tex]

Step-by-step explanation:

we know that

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

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

Part 1) we have

[tex]20x+80y=0[/tex]

Simplify

Divide by 20 both sides

[tex]x+4y=0[/tex]

isolate the variable y

Subtract x both sides

[tex]4y=-x[/tex]

Divide by 4 both sides

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

[tex]m=-(1/4)[/tex]

[tex]b=0[/tex]

Part 2) we have

[tex]30x+50y-100=0[/tex]

Simplify

Divide by 10 both sides

[tex]3x+5y-10=0[/tex]

isolate the variable y

Subtract (3x-10) both sides

[tex]5y=-(3x-10)[/tex]

Divide by 5 both sides

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

[tex]m=-(3/5)[/tex]

[tex]b=2[/tex]

Part 3) we have

[tex]3x-15y-30=0[/tex]

Simplify

Divide by 3 both sides

[tex]x-5y-10=0[/tex]

isolate the variable y

Subtract (x-10) both sides

[tex]-5y=-(x-10)[/tex]

Divide by -5 both sides

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

[tex]m=(1/5)[/tex]

[tex]b=-2[/tex]

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