Question

Write the linear equation in slope intercept form 2x+By=16

Answer 1

Part 1)
`y=-(2x)/(B)x+(16)/(B)`

Part 2)
`y=-(1)/(4)x+2`

Explanation:

Part 1)

we know that

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

`y=mx+b`

we have

`2x+By=16`

Isolate the variable y

subtract 2x both sides

`By=-2x+16`

Divide by B both sides

`y=-(2x)/(B)x+(16)/(B)`

Part 2)

we know that

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

`y=mx+b`

we have

`2x+8y=16`

Isolate the variable y

subtract 2x both sides

`8y=-2x+16`

Divide by 8 both sides

`y=-(2x)/(8)x+(16)/(8)`

Simplify

`y=-(1)/(4)x+2`