Question

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?

Answer 1

the slope is
`\frac {10-4}{4-2} = 3` and thus our equation becomes
`y-4=3*(x-2)`.
If we rearrange terms we get
`y=3x-2`

Answer 2

`x_(1)=2\\y_1=4\\x_2=4\\y_2=10`
equation of the line passes through two points:

`(x_2-x_1)(y-y_1)=(y_2-y_1)(x-x_1)\\(4-2)(y-4)=(10-4)(x-2)\\2y-8=6x-12\\2y=6x-4\\y=3x-2`