Question

How do you write an equation of a line going through points (0,1) and (3, 4)?

Answer 1

The slope of a line going through two points `(x_1,y_1)` and `(x_2,y_2)` is given by the formula:
`m = (y_2 - y_1)/(x_2-x_1)`

For points `(x_1,y_1) = (0,1)` and `(x_2,y_2) = (3,4)`
this becomes
`m = (4-1)/(3-0) = 4/3`

We can then use either of the given points (I chose `(0,1)`) with the slope-point form
`(y-y_1) = m(x-x_1)` for the equation

For our specific case this gives us
`y-1 = 4/3(x-0)`
which could be simplified as
`3y = 4x+3`