Check graphically whether the pair of equation 3x-2y+2=0 and 3/2x-y+3=0 is consistent. also find the coordinates of the points where the graphs meet the y-axis

3x - 2y + 2 = 0 → -2y + 2 = -3x → -2y = -3x - 2 → y = x + 1

x - y + 3 = 0 → -y + 3 = -x → -y = -x - 3 → y = x + 3

These two equations have the same slope but different y-intercepts so they are parallel lines. (aka inconsistent).

Inconsistent, (0, 1), (0, 3)

i think the answer is b

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.