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

Question

asked May 9, 2020 41.7k views

1 Answer

Graeme Paul · Answer 1 · 2020-05-13T15:47:42+0000

Answer:

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,

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