Question

What is the slope intercept form of (4,0) and (0,2)

Answer 1

`\huge\boxed{y=-(1)/(2)x+2}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

`m` - slope

`b` - y-intercept (0, b)

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

=========================================

We have two points (4, 0) and (0, 2) →
`b=2`

Calculate the slope:

`m=(2-0)/(0-4)=(2)/(-4)=-(2:2)/(4:2)=-(1)/(2)`

Finally:

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