Answer:
(5,4)
Step-by-step explanation:
thanks to the second information we know that a certain second point of the line is (-1,0)
Now we can use a formula to find the equation of the line, that is
(y-y1)/(y2-y1) = (x-x1)/(x2-x1) where x and y 1 and 2 are the coordinates of the points.
(y+2)/2 = (x+4)/(-1+4)
y+2/2 = (x+4)/ 3
3y+6 = 2x+8
2x-3y+2 = 0
now we have to find the point that make true the equation (we have to sobstitute x and y with the coordinates of the given points)
1) -12 +15 + 2 = 0 ; 3 = 0 (wrong)
2) 6-4+2 = 0 ; 4 = 0 (wrong)
3) 8-15+2 = 0 ; -5 = 0 (wrong)
4) 10-12+2 = 0 ; 0=0 (true)
so (5,4) is the correct answer
