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]