Question

How do you write an equation in slope-intercept form of the line that passes through the points (0,3) and (2,5)?

Answer 1

`y= x + 3`

Explanation:

If the line goes through `(0,3)`, considering this point is on the y-axis, then the intercept by definition is `3`.

The slope is:

`(Delta y)/(Delta x) = (5-3)/(2-0) =2/2=1`

So:

`y= x + 3`

graph{x+3 [-10, 10, -5, 5]}