Answer:
B) y = x + 2 and y = -x - 4
Explanation:
The equation of a line is represented with y = mx + b.
"x" and "y", when substituted, tell you if a point (x, y) is on the line.
"m" is slope, and tells if it goes up (positive slope) or down (negative)
"b" is the y-intercept, when the line hits the y-axis.
In the graph, we have two lines. One goes upwards (read from left to right), and the other goes downwards.
The graph that goes upwards hits the y-axis at positive "2".
The graph that goes downwards hits the y-axis at (negative) "-4".
Since the choices only have positive 1 or negative 1 as the slope, we only have to worry if it goes up or down.
Take the key information, slope and y-intercept, to write the equations.
"upwards slope, y-axis at 2"
y = x + 2
"downwards slope, y-axis at -4"
y = -x - 4