Question 1188641
<br>
Technically the statement of the problem is insufficient -- we don't know for sure whether the ratio 2:3 is AP:PB or BP:PA.<br>
I will guess that AP:PB = 2:3.<br>
From A to B is a change of +5 in the x direction and -10 in the y direction.
P is (2/(2+3)) = 2/5 of the way from A to B.
2/5 of 5 is 2; 2/5 of -10 is -4.
The x coordinate of P is -2+2=0; the y coordinate is 6+(-4)=2.<br>
So we have a line through (0,2) with slope of 3/2.  Since (0,2) is the y-intercept, you can plug the values directly into the slope-intercept form of the equation.<br>
y = mx+b<br>
y = (3/2)x+2<br>