solve for the line with the given points (4,2) (-2, 3)

Question

and throughly explaine the fraction part i know answer is y= -1/6x + 8/3 but i dont understand how

Answer 1

get strate line from 2 points...(-2,3) & (4,2)

deltax=4-(-2)=6

deltay=2-3=-1

slope=deltay/deltax=-1/6

thus, y=-(1/6)x +konst

projekt from 1 point...x from -2 tu x=0, deltax=2

thus, deltay=2*(-1)=-2

y at x=0...3-2=1

this point=(0,1)

thus, y-intersept=1