Question

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

Answer 1

Answer:

3x-2y-2=0

3x-2y+10=0

Step-by-step 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 $m=\frac{Y2-Y1}{X2-X1}$

$m=\frac{8-5}{2-0} \\m=\frac{3}{2}$

The equation of the line will be as,

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