Respuesta :

Answer:

Part 1) [tex]y=-\frac{2x}{B}x+\frac{16}{B}[/tex]

Part 2) [tex]y=-\frac{1}{4}x+2[/tex]

Step-by-step explanation:

Part 1)

we know that

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

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

we have

[tex]2x+By=16[/tex]

Isolate the variable y

subtract 2x both sides

[tex]By=-2x+16[/tex]

Divide by B both sides

[tex]y=-\frac{2x}{B}x+\frac{16}{B}[/tex]

Part 2)

we know that

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

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

we have

[tex]2x+8y=16[/tex]

Isolate the variable y

subtract 2x both sides

[tex]8y=-2x+16[/tex]

Divide by 8 both sides

[tex]y=-\frac{2x}{8}x+\frac{16}{8}[/tex]

Simplify

[tex]y=-\frac{1}{4}x+2[/tex]