Answer:
a: x = -4
b: x = 4
c: y = 4
d: y = -2
e: y = -4/3x + 1
Explanation:
For lines a & b, since they're vertical lines, they are in the form x = (whatever x-coordinate they intersect).
So, for line a, since it intersects the x-coordinate of -4, your equation is x = -4.
For line b, since it intersects the x-coordinate of 4, your equation is x = 4.
For lines c & d, since they're horizontal lines, they are in the form y = (whatever y-coordinate they intersect).
So, for line c, since it intersects the y-coordinate of 4, your equation is y = 4.
For line d, since it intersects the y-coordinate of -2, your equation is y = -2.
For line e, since it appears to be a general linear function, it is in the form y = mx + b (at least in point-slope form, it doesn't specify which form, but I assume this one), where m is the slope and b is the y-intercept.
Remember slope is rise over run, so in line e, you go over 4 units and down 3 units at any particular point, so your slope is -4/3.
To find the y-intercept, just find where the line intersects the y-axis, which is at the point (0, 1), so your b is 1.
To put it all together, your equation for line e is y= -4/3x + 1
I hope that this made sense, if not, feel free to let me know