Answer:
y = -0.5
Explanation:
Okay, slope intercept form (remember this) is y = mx+b or y = mx-b.
m is the slope, so we put -0.5 there.
The origin is the very center of the graph. Where the x and y-axis meets. Think of the x-axis and y-axis as two number lines, one vertical and one horizontal. In coordinates, the origin is (0,0) because it is the center of the graph, and 0 is the center of a number line and we have 2 number lines. So, 2 zeros.
Slope is the steepness of a line. Think of it as an uphill road (positive slope) or a downhill mountain (negative slope.)
A y-intercept is where the line FIRST meets the y-axis (vertical axis).
We don't need to write y = -0.5x + 0 or y = -0.5x - 0. Adding and subtracting zero is the same thing. We don't need to do it at all.
If you need any help with this explanation, let me know in the comments. Math is hard and I'm here to help! Also, Desmos Graphing Calculator is FREE and ONLINE! It graphs your lines for you!
Thanks, human,
- throckmorton