Question

What is the slope-intercept equation for the line below? (0,1) (4,3)

Answer 1

The slope-intercept form:

`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 the points (4, 3) and (0, 1) → b = 1.

Calculate the slope:

`m=(1-3)/(0-4)=(-2)/(-4)=(1)/(2)`

Answer:
`\boxed{D.\ y=(1)/(2)x+1}`