Question

20y-10x=5 in slope intercept form can you explain the steps

Answer 1

Given:

The equation is

`20y-10x+5`

To find:

The slope intercept form of the given equation.

Solution:

The slope intercept form of a linear equation is

`y=mx+b`

Where, m is slope and b is the y-intercept.

We have,

`20y-10x=5`

We need to isolate y. Add 10x on both sides.

`20y-10x+10x=5+10x`

`20y=5+10x`

Divide both sides by 20.

`(20y)/(20)=(5+10x)/(20)`

`y=(5)/(20)+(10x)/(20)`

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

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

Therefore, the slope intercept form of the given equation is
`y=(1)/(2)x+(1)/(4)`.