Choose the system of equations which matches the following graph: (5 points) a line includes points 0 comma negative 5 and 2 comma negative 6. a line includes points 2 comma negative 6 and 4 comma 0

x + 2y = −10
3x − y = 12

x − 2y = −10
3x − y = 12

x + 2y = −10
3x + y = 12

x − 2y = −10
3x + y = 12

The correct answer for this question is this one:

A line includes points 0 comma negative 5 and 2 comma negative 6. A line includes points 2 comma negative 6 and 4 comma 0 

So the points are (0, -5) (2,-6); (2,-6) (4,0)

finding the slopes:
m = (-5 - -6) / (0-2) = 1/-2 = - 1/2
m = (-6 - 0) / (2-4) = -6 / -2 = 3

Finding the equations:
y + 5 = -1/2 (x-0)
y + 5 = -1/2x
2y + 10 = -x --> x + 2y = -10

y + 6 = 3 (x - 2)
y + 6 = 3x - 6
-3x + y = -12 --> 3x - y = 12