Question

Select all the lines points that are on the line through (0,5) and (2,8)

Answer 1

3x-2y-2=0

3x-2y+10=0

Explanation:

let the slope of the line be 'm'

and also
`(x1,y1)=(0,5)`

`(x2,y2)=(2,8)`

we know the formula for finding slope
`m=(Y2-Y1)/(X2-X1)`

`m=(8-5)/(2-0) \\m=(3)/(2)`

The equation of the line will be as,

`(y-y1)=m(x-x1)\\(y-5)=(3)/(2)(x-0)\\ y-10=3x\\ 23x-2y+10=0\\(y-2)=(3)/(2)(x-2)\\ 2y-4=3x-6\\3x-2y-2=0`